约束三元组的多辛可观察约简

IF 0.7 4区数学 Q3 MATHEMATICS

Differential Geometry and its Applications Pub Date : 2025-07-16 DOI:10.1016/j.difgeo.2025.102272

Antonio Michele Miti , Leonid Ryvkin

引用次数: 0

摘要

本文的目的是利用Gerstenhaber代数、bv模和约束三重形式，给出由多辛几何启发的L∞-可观测代数的构造和约简的完全代数形式。在“几何情况”下，我们对[7]的最新结果进行了重构和概念解释。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Multisymplectic observable reduction using constraint triples

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 [7].

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来源期刊

Differential Geometry and its Applications 数学-数学

CiteScore

1.00

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Differential Geometry and its Applications publishes original research papers and survey papers in differential geometry and in all interdisciplinary areas in mathematics which use differential geometric methods and investigate geometrical structures. The following main areas are covered: differential equations on manifolds, global analysis, Lie groups, local and global differential geometry, the calculus of variations on manifolds, topology of manifolds, and mathematical physics.