Deformation and Hochschild cohomology of coisotropic algebras

Author:

Dippell Marvin,Esposito ChiaraORCID,Waldmann Stefan

Abstract

AbstractCoisotropic algebras consist of triples of algebras for which a reduction can be defined and unify in a very algebraic fashion coisotropic reduction in several settings. In this paper, we study the theory of (formal) deformation of coisotropic algebras showing that deformations are governed by suitable coisotropic DGLAs. We define a deformation functor and prove that it commutes with reduction. Finally, we study the obstructions to existence and uniqueness of coisotropic algebras and present some geometric examples.

Funder

Università degli Studi di Salerno

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference30 articles.

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1. A Serre–Swan theorem for coisotropic algebras;Pacific Journal of Mathematics;2022-04-06

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