TY  - JOUR
A1  - Dippell, Marvin
A1  - Esposito, Chiara
A1  - Waldmann, Stefan
T1  - Deformation and Hochschild cohomology of coisotropic algebras
JF  - Annali di Matematica Pura ed Applicata
N2  - Coisotropic 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.
KW  - deformation theory
KW  - differential graded Lie algebra
KW  - coisotropic reduction
Y1  - 2022
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-329069
VL  - 201
IS  - 3
ER  -