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arxiv: 2506.00234 · v2 · pith:OGUIZU3T · submitted 2025-05-30 · math.SG · math.DG· math.RA

Multisymplectic observable reduction using constraint triples

Antonio Michele Miti , Leonid Ryvkin This is my paper

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classification math.SG math.DGmath.RA
keywords algebrasconstraintformalismmultisymplecticreductionalgebraicarxivbv-modules
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The purpose of this paper is to present a fully algebraic formalism for the construction and reduction of $L_\infty$-algebras of observables inspired by multisymplectic geometry, using Gerstenhaber algebras, BV-modules, and the constraint triple formalism. In the "geometric case", we reconstruct and conceptually explain the recent results of arXiv:2206.03137(3).

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