Paper Citation Record · LEDGER

A description of classical field equations using extensions of graded Poisson brackets

As of 7 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2507.04743.

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pith.paper-citation-record.v1
2507.04743 v1

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Outbound references

Observation a7dc8084-e252-4d2f-bb15-ed0dd17b59d4 · outbound

This paper cites Categorified Symplectic Geometry and the Classical String.

A description of classical field equations using extensions of graded Poisson brackets Categorified Symplectic Geometry and the Classical String

Reference 1

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This paper cites Poisson–Poincaré reduction for field theories.

A description of classical field equations using extensions of graded Poisson brackets Poisson–Poincaré reduction for field theories

Reference 2

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This paper cites Reduction ofL∞-Algebras of Observables on Multisymplectic Manifolds.

A description of classical field equations using extensions of graded Poisson brackets Reduction ofL∞-Algebras of Observables on Multisymplectic Manifolds

Reference 3

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A description of classical field equations using extensions of graded Poisson brackets Reduction of multisymplectic manifolds

Reference 4

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This paper cites A Brief introduction to Dirac manifolds.

A description of classical field equations using extensions of graded Poisson brackets A Brief introduction to Dirac manifolds

Reference 5

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A description of classical field equations using extensions of graded Poisson brackets On Higher Dirac Structures

Reference 6

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This paper cites Bursztyn and M.

A description of classical field equations using extensions of graded Poisson brackets Bursztyn and M

Reference 7

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This paper cites Dirac Structures and Nijenhuis Operators.

A description of classical field equations using extensions of graded Poisson brackets Dirac Structures and Nijenhuis Operators

Reference 8

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This paper cites Homotopy moment maps.

A description of classical field equations using extensions of graded Poisson brackets Homotopy moment maps

Reference 9

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This paper cites Hamiltonian structures on multisymplectic manifolds.

A description of classical field equations using extensions of graded Poisson brackets Hamiltonian structures on multisymplectic manifolds

Reference 10

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This paper cites On the geometry of multisymplectic manifolds.

A description of classical field equations using extensions of graded Poisson brackets On the geometry of multisymplectic manifolds

Reference 11

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This paper cites On the Multisymplectic Formalism for First Order Field Theories.

A description of classical field equations using extensions of graded Poisson brackets On the Multisymplectic Formalism for First Order Field Theories

Reference 12

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Observation c2d440f1-2e26-4c73-b724-a8dacee01dfb · outbound

This paper cites Some remarks on Lagrangian and Poisson reduction for field theories.

A description of classical field equations using extensions of graded Poisson brackets Some remarks on Lagrangian and Poisson reduction for field theories

Reference 13

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This paper cites Dirac manifolds.

A description of classical field equations using extensions of graded Poisson brackets Dirac manifolds

Reference 14

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Reference 16

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This paper cites Dirac structures of integrable evolution equations.

A description of classical field equations using extensions of graded Poisson brackets Dirac structures of integrable evolution equations

Reference 17

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This paper cites The Poisson Bracket for Poisson Forms in Multisymplectic Field Theory.

A description of classical field equations using extensions of graded Poisson brackets The Poisson Bracket for Poisson Forms in Multisymplectic Field Theory

Reference 18

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Observation f7c872f5-1e91-40ef-9c80-5e91f914aa89 · outbound

This paper cites A cohomological framework for homotopy moment maps.

A description of classical field equations using extensions of graded Poisson brackets A cohomological framework for homotopy moment maps

Reference 19

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This paper cites The Poincaré-Cartan invariant in the calculus of variations.

A description of classical field equations using extensions of graded Poisson brackets The Poincaré-Cartan invariant in the calculus of variations

Reference 20

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A description of classical field equations using extensions of graded Poisson brackets Unresolved cited work

Reference 21

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This paper cites A new canonical affine bracket formulation of Hamiltonian classical field theories of first order.

A description of classical field equations using extensions of graded Poisson brackets A new canonical affine bracket formulation of Hamiltonian classical field theories of first order

Reference 22

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A description of classical field equations using extensions of graded Poisson brackets The Hamilton-Cartan formalism in the calculus of variations

Reference 23

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A description of classical field equations using extensions of graded Poisson brackets An Introduction to Higher-Form Symmetries

Reference 24

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This paper cites Multisymplectic constraint analysis of scalar field theories, Chern-Simons gravity, and bosonic string theory.

A description of classical field equations using extensions of graded Poisson brackets Multisymplectic constraint analysis of scalar field theories, Chern-Simons gravity, and bosonic string theory

Reference 25

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A description of classical field equations using extensions of graded Poisson brackets Presymplectic lagrangian systems. I : the constraint algorithm and the equivalence theorem

Reference 26

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A description of classical field equations using extensions of graded Poisson brackets Z-Graded Extensions of Poisson Brackets

Reference 27

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A description of classical field equations using extensions of graded Poisson brackets On Darboux Theorems for Geometric Struc- tures Induced by Closed Forms

Reference 28

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A description of classical field equations using extensions of graded Poisson brackets Lectures on generalized geometry

Reference 29

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A description of classical field equations using extensions of graded Poisson brackets On field theoretic generalizations of a Poisson algebra

Reference 30

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A description of classical field equations using extensions of graded Poisson brackets Canonical structure of classical field theory in the polymomentum phase space

Reference 31

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A description of classical field equations using extensions of graded Poisson brackets Kijowski and W

Reference 32

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A description of classical field equations using extensions of graded Poisson brackets A Canonical Structure for Classical Field Theories

Reference 33

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A description of classical field equations using extensions of graded Poisson brackets Graded Poisson and graded Dirac structures

Reference 34

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A description of classical field equations using extensions of graded Poisson brackets Pre- multisymplectic constraint algorithm for field theories

Reference 35

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A description of classical field equations using extensions of graded Poisson brackets de León and P

Reference 36

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A description of classical field equations using extensions of graded Poisson brackets Proof of the equivalence of the symplectic forms derived from the canonical and the covariant phase space formalisms

Reference 37

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A description of classical field equations using extensions of graded Poisson brackets The Schouten-Nijenhuis bracket and interior products

Reference 38

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A description of classical field equations using extensions of graded Poisson brackets A generalization of Hamiltonian mechanics

Reference 39

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A description of classical field equations using extensions of graded Poisson brackets L∞-Algebras from Multisymplectic Geometry

Reference 40

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A description of classical field equations using extensions of graded Poisson brackets Multisymplectic Lagrangian and Hamiltonian Formalisms of Classical Field Theories

Reference 41

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A description of classical field equations using extensions of graded Poisson brackets Darboux type theorems in multisymplectic geometry

Reference 42

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A description of classical field equations using extensions of graded Poisson brackets On the geometry of multi-Dirac structures and Ger- stenhaber algebras

Reference 45

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A description of classical field equations using extensions of graded Poisson brackets The Hamilton-Pontryagin principle and multi-Dirac structures for classical field theories

Reference 46

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A description of classical field equations using extensions of graded Poisson brackets Wagner and T

Reference 47

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This paper cites doi: 10.1016/0375-9601(87)90201-5.

A description of classical field equations using extensions of graded Poisson brackets doi: 10.1016/0375-9601(87)90201-5

Reference 246

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A description of classical field equations using extensions of graded Poisson brackets Unresolved cited work

Reference 743

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A description of classical field equations using extensions of graded Poisson brackets Dirac geometry, quasi-Poisson actions and D/G-valued moment maps

Reference 2008

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