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Marsden--Meyer--Weinstein reduction for $k$-contact field theories

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arxiv 2505.05462 v1 pith:5NHSDUFL submitted 2025-05-08 math.DG math-phmath.MPmath.SG

classification math.DGmath-phmath.MPmath.SG
keywords contactreductionmarsden--meyer--weinsteinbyproductclarifydevisesexamplesfield
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abstract

This work devises a Marsden--Meyer--Weinstein $k$-contact reduction. Our techniques are illustrated with several examples of mathematical and physical relevance. As a byproduct, we review the previous contact reduction literature so as to clarify and to solve some inaccuracies.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Multisymplectic observable reduction using constraint triples

    math.SG 2025-05 conditional novelty 6.0 of 10

    Any BV-module with a cocycle yields an L∞-algebra of observables, and constraint-triple reduction of that algebra recovers and explains the multisymplectic reduction of Blacker, Miti and Ryvkin.

  2. A relation between k-symplectic and k-contact Hamiltonian systems

    math-ph 2025-06 conditional novelty 4.0 of 10

    A k-symplectic Hamiltonian system lifts to a k-contact Hamiltonian system such that any projectable solution of the lifted system projects to a solution of the original system.

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