Integrable systems from Poisson reductions of generalized Hamiltonian torus actions | Paper Citation Record

Observation ab9b917a-b02d-473c-9e2b-1f6b12ddf7c4 · outbound

This paper cites Quasi-Poisson Manifolds.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Quasi-Poisson Manifolds

Reference 1

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Observation c3f98904-56a6-41fc-b0a2-6424b321f0ac · outbound

This paper cites Lie Group Valued Moment Maps.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Lie Group Valued Moment Maps

Reference 2

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Observation a4eeb95d-fcae-46d0-9ea4-05c5f7a75a6d · outbound

This paper cites Superintegrable Systems on Moduli Spaces of Flat Connections.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Superintegrable Systems on Moduli Spaces of Flat Connections

Reference 3

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Observation 8acf42df-f271-4293-ac1c-7553d87cf5bf · outbound

This paper cites Arutyunov, Elements of Classical and Quantum Integrable Systems.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Arutyunov, Elements of Classical and Quantum Integrable Systems

Reference 4

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Observation e8d4e23e-5080-42a2-9adc-4a6f8a90ceed · outbound

This paper cites Hyperbolic spin Ruijsenaars-Schneider model from Poisson reduction.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Hyperbolic spin Ruijsenaars-Schneider model from Poisson reduction

Reference 5

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Observation 6d0592db-6b36-4008-ba11-15c2f670dfb3 · outbound

This paper cites Birman and C.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Birman and C

Reference 6

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Observation 9e887257-f976-465b-9444-25087068ed31 · outbound

This paper cites Higher-order superintegrable momentum-dependent Hamiltonians on curved spaces from the classical Zernike system.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Higher-order superintegrable momentum-dependent Hamiltonians on curved spaces from the classical Zernike system

Reference 7

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Observation 4d5d9da6-3332-405d-8495-2d9103590c61 · outbound

This paper cites Non-commutative Integrability, Moment Map and Geodesic Flows.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Non-commutative Integrability, Moment Map and Geodesic Flows

Reference 8

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Observation c47414a4-6081-4e1a-91cb-54fd6d4441e7 · outbound

This paper cites Caudrelier, D.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Caudrelier, D

Reference 9

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Observation fa8a5843-4972-463d-8d31-b93d4b765e3b · outbound

This paper cites On the Hamiltonian formulation of the trigonometric spin Ruijsenaars-Schneider system.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions On the Hamiltonian formulation of the trigonometric spin Ruijsenaars-Schneider system

Reference 10

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Observation c8c32780-f92d-498e-a1a9-2c634cf29d83 · outbound

This paper cites DAHAs of Type $C^\vee C_n$ and Character Varieties.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions DAHAs of Type $C^\vee C_n$ and Character Varieties

Reference 11

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Observation e9fc38ac-0b69-461c-a58f-e56f9659167d · outbound

This paper cites an unresolved cited work.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Unresolved cited work

Reference 12

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Observation e6e60216-662a-4fbb-b7e1-aa1d0bb665e5 · outbound

This paper cites Integrability of homogeneous exact magnetic flows on spheres.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Integrability of homogeneous exact magnetic flows on spheres

Reference 13

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Observation eb2e8cf1-79c2-4e5d-bb7d-7d31d505d585 · outbound

This paper cites Dubrovin, A.T.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Dubrovin, A.T

Reference 14

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Observation 9261f4bd-20d7-446d-aa5d-e54a77a39c40 · outbound

This paper cites Duistermaat and J.A.C.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Duistermaat and J.A.C

Reference 15

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Observation ba01859a-e370-4897-b16a-54e5d9cd9ab4 · outbound

This paper cites Dwyer and C.W.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Dwyer and C.W

Reference 16

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Observation 50682503-b142-4bcd-ac92-15161f2fa40d · outbound

This paper cites Fairon, Integrable systems on multiplicative quiver varieties from cyclic quivers.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Fairon, Integrable systems on multiplicative quiver varieties from cyclic quivers

Reference 17

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Observation 67701925-bb7d-43a6-8cde-e40b3616976c · outbound

This paper cites Integrable multi-Hamiltonian systems from reduction of an extended quasi-Poisson double of $\operatorname{U}(n)$.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Integrable multi-Hamiltonian systems from reduction of an extended quasi-Poisson double of $\operatorname{U}(n)$

Reference 18

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Observation 873bd5b6-74ca-4ec5-b76d-afa25f07c8f4 · outbound

This paper cites Trigonometric real form of the spin RS model of Krichever and Zabrodin.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Trigonometric real form of the spin RS model of Krichever and Zabrodin

Reference 19

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Observation dd7f1b72-e36c-473d-9682-241a15106ccb · outbound

This paper cites Farb and D.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Farb and D

Reference 20

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Observation 57d865f2-0653-4368-ba6f-60a5b76ddeeb · outbound

This paper cites Fass` o,Superintegrable Hamiltonian systems: Geometry and perturbations.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Fass` o,Superintegrable Hamiltonian systems: Geometry and perturbations

Reference 21

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Observation 66e9a033-45cd-47bf-ada6-36d2c437d72f · outbound

This paper cites An application of the reduction method to Sutherland type many-body systems.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions An application of the reduction method to Sutherland type many-body systems

Reference 22

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Observation 20f505f3-77cd-42d6-9736-497a894d1ecc · outbound

This paper cites Poisson reductions of master integrable systems on doubles of compact Lie groups.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Poisson reductions of master integrable systems on doubles of compact Lie groups

Reference 23

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Observation 52aeec33-36f5-4b89-a59d-253471140be0 · outbound

This paper cites Notes on the degenerate integrability of reduced systems obtained from the master systems of free motion on cotangent bundles of compact Lie groups.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Notes on the degenerate integrability of reduced systems obtained from the master systems of free motion on cotangent bundles of compact Lie groups

Reference 24

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Observation 351f0723-7fa8-4d1f-b298-cdf63d4ac304 · outbound

This paper cites Poisson-Lie analogues of spin Sutherland models revisited.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Poisson-Lie analogues of spin Sutherland models revisited

Reference 25

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Observation 57c06e25-5430-4824-b593-1f34f36359cc · outbound

This paper cites On the maximal superintegrability of strongly isochronous Hamiltonians.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions On the maximal superintegrability of strongly isochronous Hamiltonians

Reference 26

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Observation 2d35360b-c4a1-46d3-a0e2-433c86eb0f6d · outbound

This paper cites Trigonometric Sutherland systems and their Ruijsenaars duals from symplectic reduction.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Trigonometric Sutherland systems and their Ruijsenaars duals from symplectic reduction

Reference 27

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Observation da528cfb-d867-4e02-a586-297d33660836 · outbound

This paper cites Poisson-Lie interpretation of trigonometric Ruijsenaars duality.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Poisson-Lie interpretation of trigonometric Ruijsenaars duality

Reference 28

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Observation 23b52d42-d276-4367-b06e-737dd231ae19 · outbound

This paper cites Self-duality of the compactified Ruijsenaars-Schneider system from quasi-Hamiltonian reduction.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Self-duality of the compactified Ruijsenaars-Schneider system from quasi-Hamiltonian reduction

Reference 29

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Observation 46708f41-1d89-4fc2-9c2d-fab35dd0f041 · outbound

This paper cites New compact forms of the trigonometric Ruijsenaars-Schneider system.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions New compact forms of the trigonometric Ruijsenaars-Schneider system

Reference 30

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Observation 441c74ce-c69f-464b-b66b-ff9b57f15dec · outbound

This paper cites Generalized spin Sutherland systems revisited.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Generalized spin Sutherland systems revisited

Reference 31

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Observation b20a6afa-ed63-4342-ad4c-00c733ae2374 · outbound

This paper cites Noncommutative integrability on noncompact invariant manifolds.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Noncommutative integrability on noncompact invariant manifolds

Reference 32

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Observation 9a081ee5-a01e-4f9a-b9ac-917ed08ff79d · outbound

This paper cites Poisson structure on moduli of flat connections on Riemann surfaces and $r$-matrix.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Poisson structure on moduli of flat connections on Riemann surfaces and $r$-matrix

Reference 33

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Observation 22b8e5f1-4cda-4468-829b-c2852b600a9a · outbound

This paper cites Integrable and Superintegrable Extensions of the Rational Calogero-Moser Model in 3 Dimensions.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Integrable and Superintegrable Extensions of the Rational Calogero-Moser Model in 3 Dimensions

Reference 34

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Observation da413c52-6065-47bc-b886-24ca6949fac1 · outbound

This paper cites Gotˆ o,A theorem on compact semi-simple groups.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Gotˆ o,A theorem on compact semi-simple groups

Reference 35

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Observation a3679dfe-a4ab-4f48-8349-47b1206c5896 · outbound

This paper cites Guillemin and S.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Guillemin and S

Reference 36

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Observation 28516619-7bff-4bf1-80ee-fb068ba47f89 · outbound

This paper cites Family of nonstandard integrable and superintegrable classical Hamiltonian systems in non-vanishing magnetic fields.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Family of nonstandard integrable and superintegrable classical Hamiltonian systems in non-vanishing magnetic fields

Reference 37

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Observation 4a0af828-921f-4d0a-9761-bc646b0e5094 · outbound

This paper cites Symmetries and Integrability.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Symmetries and Integrability

Reference 38

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Observation c4f44349-7f17-4822-afa0-ca95f34b15e7 · outbound

This paper cites Kazhdan, B.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Kazhdan, B

Reference 39

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Observation ad2b40dd-06f8-44b7-a014-bb06b23dde7a · outbound

This paper cites Quasi-compact Higgs bundles and Calogero-Sutherland systems with two types spins.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Quasi-compact Higgs bundles and Calogero-Sutherland systems with two types spins

Reference 40

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Observation 7fcc93a4-380b-43ac-a45a-049445a38e53 · outbound

This paper cites On moment maps associated to a twisted Heisenberg double.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions On moment maps associated to a twisted Heisenberg double

Reference 41

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Observation c4e4ac5b-876a-4c0f-8cdf-6b4b9847b3c5 · outbound

This paper cites Knapp, Lie Groups Beyond an Introduction.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Knapp, Lie Groups Beyond an Introduction

Reference 42

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Observation b383b009-6de1-47a7-b747-866a7e184fec · outbound

This paper cites Korogodski and Y.S.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Korogodski and Y.S

Reference 43

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Observation a54802b1-b476-48d0-bacc-2fb224a30a99 · outbound

This paper cites Kostant, The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Kostant, The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group

Reference 44

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Observation 59bb9c24-cf72-4072-b592-ad161fb0c084 · outbound

This paper cites Action-angle coordinates for integrable systems on Poisson manifolds.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Action-angle coordinates for integrable systems on Poisson manifolds

Reference 45

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Observation ac251bc9-6683-4246-ba7d-27d688174125 · outbound

This paper cites Le Blanc, Quasi-Poisson structures and integrable systems related to the moduli space of flat connections on a punctured Riemann sphere.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Le Blanc, Quasi-Poisson structures and integrable systems related to the moduli space of flat connections on a punctured Riemann sphere

Reference 46

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Observation ac80a601-1c20-4fc5-950c-0b37d4512d27 · outbound

This paper cites Liashyk, G.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Liashyk, G

Reference 47

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Observation 8b5f49de-f281-4722-ba5e-35ecb97e7298 · outbound

This paper cites Lu, Momentum mappings and reduction of Poisson actions.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Lu, Momentum mappings and reduction of Poisson actions

Reference 48

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Observation 0dd69a4f-37bf-40b3-ba16-f0c5ec471d9a · outbound

This paper cites Marquette, D.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Marquette, D

Reference 49

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Observation f4740d60-6223-4e8b-9ee9-55329d03deb0 · outbound

This paper cites Marsden, G.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Marsden, G

Reference 50

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Observation daaa1fb0-46f3-4c8b-b1c4-e9b0f67d6c7e · outbound

This paper cites Verlinde formulas for nonsimply connected groups.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Verlinde formulas for nonsimply connected groups

Reference 51

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Observation 68bcc653-a8d4-4a7e-ac9f-2d7d9142b498 · outbound

This paper cites Michor, Topics in Differential Geometry.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Michor, Topics in Differential Geometry

Reference 52

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Observation 47152cfc-b84b-422d-a127-c45cf562c844 · outbound

This paper cites Classical and Quantum Superintegrability with Applications.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Classical and Quantum Superintegrability with Applications

Reference 53

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Observation 91c397e6-d312-4837-bf00-56c35931d2d4 · outbound

This paper cites Mischenko and A.T.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Mischenko and A.T

Reference 54

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Observation ff8506db-7116-4e2b-be9e-f77542b660d7 · outbound

This paper cites Nekhoroshev, Action-angle variables and their generalizations.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Nekhoroshev, Action-angle variables and their generalizations

Reference 55

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Observation 15e66892-7037-483f-9bf8-eb378c602ba9 · outbound

This paper cites Onishchik and E.B.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Onishchik and E.B

Reference 56

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Observation dc966255-acfc-457b-95cc-b4218903fc48 · outbound

This paper cites Ortega and T.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Ortega and T

Reference 57

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Observation 664433a8-7fcc-4f49-aa53-90a4bf5bb5c1 · outbound

This paper cites Perelomov, Integrable Systems of Classical Mechanics and Lie Algebras.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Perelomov, Integrable Systems of Classical Mechanics and Lie Algebras

Reference 58

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Observation 27665d0b-f5c2-4f2e-a80c-6bab2597d0a0 · outbound

This paper cites The N-species integrable Volterra system as a maximally superintegrable Hamiltonian system.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions The N-species integrable Volterra system as a maximally superintegrable Hamiltonian system

Reference 59

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Observation 31f891bf-b6b1-4e52-acf4-8048946b51ef · outbound

This paper cites Degenerate Integrability of Spin Calogero-Moser Systems and the duality with the spin Ruijsenaars systems.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Degenerate Integrability of Spin Calogero-Moser Systems and the duality with the spin Ruijsenaars systems

Reference 60

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Observation f11c2b3f-34b7-472c-b13a-281d526b137b · outbound

This paper cites Degenerately Integrable Systems.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Degenerately Integrable Systems

Reference 61

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Observation 86588899-b4b3-41ee-8ef7-44ff83df4936 · outbound

This paper cites Spin Calogero-Moser models on symmetric spaces.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Spin Calogero-Moser models on symmetric spaces

Reference 62

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Observation 240ce158-f49c-4b8b-9574-63526274e93b · outbound

This paper cites Periodic and open classical spin Calogero-Moser chains.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Periodic and open classical spin Calogero-Moser chains

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-06T17:14:54.128359Z

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Unavailable: canonical work link unavailable.

Observation 944dab1f-3fbd-470e-b09d-d6db321baef0 · outbound

This paper cites Superintegrability of Generalized Toda Models on Symmetric Spaces.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Superintegrability of Generalized Toda Models on Symmetric Spaces

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-06T17:14:54.254282Z

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Observation ca165c0b-5bf4-4ca4-9691-1d37bbe05ad3 · outbound

This paper cites Reshetikhin and M.A.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Reshetikhin and M.A

Reference 65

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:14:57.986162Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1287ac1b-06fe-4f40-86a1-cd40b1502cca · outbound

This paper cites Ruijsenaars, Action-angle maps and scattering theory for some finite-dimensional inte- grable systems.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Ruijsenaars, Action-angle maps and scattering theory for some finite-dimensional inte- grable systems

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-06T17:14:54.606162Z

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Unavailable: canonical work link unavailable.

Observation 6163578e-cd3c-46e5-82e3-7effbeeab504 · outbound

This paper cites Samelson, Notes on Lie Algebras.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Samelson, Notes on Lie Algebras

Reference 67

Resolution: unresolved; no resolver link, observed 2026-08-06T17:14:54.758363Z

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Unavailable: canonical work link unavailable.

Observation 01c0f928-4357-4854-a605-0258b8346f27 · outbound

This paper cites Semenov-Tian-Shansky, Dressing transformations and Poisson group actions.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Semenov-Tian-Shansky, Dressing transformations and Poisson group actions

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-06T17:14:54.905357Z

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Unavailable: canonical work link unavailable.

Observation 0875adad-5320-4d1d-b020-62f6d2b410ef · outbound

This paper cites Semenov-Tian-Shansky, Integrable systems: an r-matrix approach.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Semenov-Tian-Shansky, Integrable systems: an r-matrix approach

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-06T17:14:55.047647Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f35b6841-78f5-4fe4-a689-773900dc1f51 · outbound

This paper cites Sjamaar and E.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Sjamaar and E

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:14:57.796545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e2738523-e385-4f02-8ba8-800b8b4d1506 · outbound

This paper cites Tempesta (ed.) et al., Superintegrability in Classical and Quantum Systems.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Tempesta (ed.) et al., Superintegrability in Classical and Quantum Systems

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-06T17:14:55.327808Z

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Unavailable: canonical work link unavailable.

Observation 9953fcd2-878a-4066-aa36-ad33daeca3f2 · outbound

This paper cites Rotations and integrability.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Rotations and integrability

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-06T17:14:55.446820Z

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Unavailable: canonical work link unavailable.

Observation 490cb72a-8e00-4f6d-8175-f9a2590d09f4 · outbound

This paper cites van Diejen, Commuting difference operators with polynomial eigenfunctions.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions van Diejen, Commuting difference operators with polynomial eigenfunctions

Reference 73

Resolution: unresolved; no resolver link, observed 2026-08-06T17:14:55.583394Z

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Unavailable: canonical work link unavailable.

Observation 617458da-cee4-475f-84ae-d0c052d39b9d · outbound

This paper cites Torsion-free connections of second-order maximally superintegrable systems.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Torsion-free connections of second-order maximally superintegrable systems

Reference 74

Resolution: unresolved; no resolver link, observed 2026-08-06T17:14:55.716254Z

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Unavailable: canonical work link unavailable.

Observation 30784c80-994e-46c3-8131-06dd98aa59a3 · outbound

This paper cites Torus Actions and Integrable Systems.

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions Torus Actions and Integrable Systems

Reference 75

Resolution: unresolved; no resolver link, observed 2026-08-06T17:14:55.912623Z

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