The purpose of this paper is to present a fully algebraic formalism for the construction and reduction of -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 [7].

Multisymplectic observable reduction using constraint triples / Miti, Antonio Michele; Ryvkin, Leonid. - In: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS. - ISSN 0926-2245. - (2025). [10.1016/j.difgeo.2025.102272]

Multisymplectic observable reduction using constraint triples

Antonio Michele Miti;
2025

Abstract

The purpose of this paper is to present a fully algebraic formalism for the construction and reduction of -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 [7].
2025
Multisymplectic manifold; constraint triple; gerstenhaber algebra; L∞-algebra; reduction
01 Pubblicazione su rivista::01a Articolo in rivista
Multisymplectic observable reduction using constraint triples / Miti, Antonio Michele; Ryvkin, Leonid. - In: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS. - ISSN 0926-2245. - (2025). [10.1016/j.difgeo.2025.102272]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1746208
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