Paper Citation Record · LEDGER

Vortex Filaments in Hermitian Reductive Lie Algebras

As of 13 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2607.26650.

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pith.paper-citation-record.v1
2607.26650 v1

Coverage vector

measured 32 of 32 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-01T11:38:52.710568Z

measured 32 of 32 standing notices

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32 of 32 outbound references displayed

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Outbound references

Observation 8dbc6ec7-7d07-43e9-b298-31418361831b · outbound

This paper cites Localized-induction concept on a curved vortex and motion of an elliptic vortex ring.

Vortex Filaments in Hermitian Reductive Lie Algebras Localized-induction concept on a curved vortex and motion of an elliptic vortex ring

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T11:38:49.985902Z

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Observation cd7fd57f-6c93-42c3-a16f-55fdef461419 · outbound

This paper cites Vortex density models for supercon- ductivity and superfluidity.

Vortex Filaments in Hermitian Reductive Lie Algebras Vortex density models for supercon- ductivity and superfluidity

Reference 2

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Observation bb9625b9-e72d-4c5b-aca2-6ef6a667401d · outbound

This paper cites Geometrical models of interface evo- lution.

Vortex Filaments in Hermitian Reductive Lie Algebras Geometrical models of interface evo- lution

Reference 3

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Observation b29c8e55-8bba-439e-a7e4-565564fe604a · outbound

This paper cites Sul moto d’un liquido indefinito con un filetto vorticoso di forma qualunque.

Vortex Filaments in Hermitian Reductive Lie Algebras Sul moto d’un liquido indefinito con un filetto vorticoso di forma qualunque

Reference 4

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Observation 02d63e67-1d4b-48e8-8f99-ad770f1b1ddf · outbound

This paper cites A geometric realization of the generalized nonlinear Schr¨ odinger equation relating to U(3) U(1)×U(1)×U(1) , Chaos, Solitons and Fractals, 2026, 208: 118378.

Vortex Filaments in Hermitian Reductive Lie Algebras A geometric realization of the generalized nonlinear Schr¨ odinger equation relating to U(3) U(1)×U(1)×U(1) , Chaos, Solitons and Fractals, 2026, 208: 118378

Reference 5

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Observation e807aa3d-1e7d-4d57-8143-b627336e6fa2 · outbound

This paper cites The noncommutative KdV equation and its para-K¨ ahler structure.

Vortex Filaments in Hermitian Reductive Lie Algebras The noncommutative KdV equation and its para-K¨ ahler structure

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T11:38:50.485349Z

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Observation df3e5d2d-f44b-4bb3-baf5-cd4502bdcbd4 · outbound

This paper cites Vortex filament on symmetric Lie algebras and generalized bi- Schr¨ odinger flows.

Vortex Filaments in Hermitian Reductive Lie Algebras Vortex filament on symmetric Lie algebras and generalized bi- Schr¨ odinger flows

Reference 7

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Observation 9288de23-0675-4757-9da4-efe78625f557 · outbound

This paper cites The gauge equivalent structure of the Landua-Lishitz equation and its applications.

Vortex Filaments in Hermitian Reductive Lie Algebras The gauge equivalent structure of the Landua-Lishitz equation and its applications

Reference 8

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Observation ce1c49b4-8669-429e-a139-f3231ec3ba91 · outbound

This paper cites Schr¨ odinger flows of maps into symplectic manifolds.

Vortex Filaments in Hermitian Reductive Lie Algebras Schr¨ odinger flows of maps into symplectic manifolds

Reference 9

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Observation 65819610-eb45-4cba-b893-06f60fdeb288 · outbound

This paper cites Three-dimensional distortions of a vortex filament with axial velocity.

Vortex Filaments in Hermitian Reductive Lie Algebras Three-dimensional distortions of a vortex filament with axial velocity

Reference 10

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Observation 7b59b8be-e1a0-4ed4-8c4d-ed4c1ca2f8ce · outbound

This paper cites Motion and expansion of a visous vortex ring, Part 1.

Vortex Filaments in Hermitian Reductive Lie Algebras Motion and expansion of a visous vortex ring, Part 1

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T11:38:50.851882Z

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Observation c5c9dc45-97f8-450e-a64b-f4c15ba6e238 · outbound

This paper cites Nonlinear Schr¨ odinger equations and simple Lie algebras.

Vortex Filaments in Hermitian Reductive Lie Algebras Nonlinear Schr¨ odinger equations and simple Lie algebras

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T11:38:50.976898Z

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Observation 7eb44bc6-f9b0-44ee-b69e-f261c935ed51 · outbound

This paper cites Integrable Hamiltonian Hierarchies: Spectral and Geometric Methods.

Vortex Filaments in Hermitian Reductive Lie Algebras Integrable Hamiltonian Hierarchies: Spectral and Geometric Methods

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T11:38:51.041520Z

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Observation e6db7192-a3be-479e-b60a-f56c522a2e6c · outbound

This paper cites Progressive deformation of a curved vortex filament by its own induction.

Vortex Filaments in Hermitian Reductive Lie Algebras Progressive deformation of a curved vortex filament by its own induction

Reference 14

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Observation ebb1f152-051e-444a-9159-f50bc04b0bd2 · outbound

This paper cites A soliton on a vortex filament.

Vortex Filaments in Hermitian Reductive Lie Algebras A soliton on a vortex filament

Reference 15

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Observation f5551fa5-7ca7-488d-834f-d8445abaab09 · outbound

This paper cites Differential geometry, Lie groups and symmetric spaces.

Vortex Filaments in Hermitian Reductive Lie Algebras Differential geometry, Lie groups and symmetric spaces

Reference 16

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Observation ab98b675-2411-4286-b9e0-f3debc35ad33 · outbound

This paper cites ¨Uber Integrale der hydrodynamischen gleichungen, welche den wirbel- bewegungen entsprechen.

Vortex Filaments in Hermitian Reductive Lie Algebras ¨Uber Integrale der hydrodynamischen gleichungen, welche den wirbel- bewegungen entsprechen

Reference 17

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Observation aa461afa-1bbf-42b2-8b77-876877243650 · outbound

This paper cites On integrals of the hydrodynamical equations, which express vortex- motion (Translated by Tait P G), Phil Mag Ser, 1867, 33: 485-512.

Vortex Filaments in Hermitian Reductive Lie Algebras On integrals of the hydrodynamical equations, which express vortex- motion (Translated by Tait P G), Phil Mag Ser, 1867, 33: 485-512

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T11:38:51.531203Z

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Observation d125b5fe-d8c1-4dcc-863c-721d5f44076b · outbound

This paper cites The translatory velocity of a circular vortex ring.

Vortex Filaments in Hermitian Reductive Lie Algebras The translatory velocity of a circular vortex ring

Reference 19

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Observation 68b0d04e-0046-4b62-a59a-ea4f46a127c7 · outbound

This paper cites Solitons on moving space curves.

Vortex Filaments in Hermitian Reductive Lie Algebras Solitons on moving space curves

Reference 20

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Observation 3b2dcd8f-e241-4d1b-961f-2c6a8b46378a · outbound

This paper cites Instabilities and pattern formation in crystal growth.

Vortex Filaments in Hermitian Reductive Lie Algebras Instabilities and pattern formation in crystal growth

Reference 21

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Observation f4d38230-a4ee-4d09-a2f3-eae8521e79b6 · outbound

This paper cites Geometric realizations of Fordy-Kulish nonlinear Schr¨ odinger systems.

Vortex Filaments in Hermitian Reductive Lie Algebras Geometric realizations of Fordy-Kulish nonlinear Schr¨ odinger systems

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T11:38:51.834666Z

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Observation c98a6831-e98b-4d6e-b961-d000243847eb · outbound

This paper cites Vortex ring: history and state of the art.

Vortex Filaments in Hermitian Reductive Lie Algebras Vortex ring: history and state of the art

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T11:38:51.889941Z

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Observation c7dff42a-86a7-4b4d-ba81-5031a10874dd · outbound

This paper cites Invariant affine connections on homogeneous spaces, Amer.

Vortex Filaments in Hermitian Reductive Lie Algebras Invariant affine connections on homogeneous spaces, Amer

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T11:38:52.014144Z

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Observation e1a9ed5e-85b1-4d0f-bb32-aa0c5896e91d · outbound

This paper cites Integrable evolution equations on associative algebra.

Vortex Filaments in Hermitian Reductive Lie Algebras Integrable evolution equations on associative algebra

Reference 25

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Observation 2dfdda16-f304-4c64-a790-b6adcb2a373e · outbound

This paper cites an unresolved cited work.

Vortex Filaments in Hermitian Reductive Lie Algebras Unresolved cited work

Reference 26

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Observation db60811a-521e-4f5b-94b1-c83efc36e80f · outbound

This paper cites Integrable Hamiltonian systems and interactions through quadratic constraints.

Vortex Filaments in Hermitian Reductive Lie Algebras Integrable Hamiltonian systems and interactions through quadratic constraints

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T11:38:52.310091Z

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Observation 1855e537-7e40-483d-8f78-84b496fd83b5 · outbound

This paper cites The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid.

Vortex Filaments in Hermitian Reductive Lie Algebras The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid

Reference 28

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Observation c031adde-3b1e-435b-a347-86dc257ca7b3 · outbound

This paper cites KdV geometric flows on K¨ ahler manifolds.

Vortex Filaments in Hermitian Reductive Lie Algebras KdV geometric flows on K¨ ahler manifolds

Reference 29

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Observation a7fd278b-03ac-4a73-81f1-f997a8f52144 · outbound

This paper cites Soliton surfaces and their applications.

Vortex Filaments in Hermitian Reductive Lie Algebras Soliton surfaces and their applications

Reference 30

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Observation 56d557d0-6760-45fa-8a5e-13887b0c103f · outbound

This paper cites Schr¨ odinger flows on Grassmannians.

Vortex Filaments in Hermitian Reductive Lie Algebras Schr¨ odinger flows on Grassmannians

Reference 31

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Observation f0c237a9-0e81-469f-9a80-b8741769a4e6 · outbound

This paper cites Vortex filament dynamics in plasmas and su- perconductors.

Vortex Filaments in Hermitian Reductive Lie Algebras Vortex filament dynamics in plasmas and su- perconductors

Reference 32

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