Deformations of Coisotropic Submanifolds in Jacobi Manifolds
Differential Geometry
2019-01-25 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Quantum Algebra
Symplectic Geometry
Abstract
In this paper, we attach an -algebra to any coisotropic submanifold in a Jacobi manifold. Our construction generalizes and unifies analogous constructions by Oh-Park (symplectic case), Cattaneo-Felder (Poisson case), L\^e-Oh (locally conformal symplectic case). As a new special case, we attach an -algebra to any coisotropic submanifold in a contact manifold. The -algebra of a coisotropic submanifold governs the (formal) deformation problem of .
Keywords
Cite
@article{arxiv.1410.8446,
title = {Deformations of Coisotropic Submanifolds in Jacobi Manifolds},
author = {Hông Vân Lê and Yong-Geun Oh and Alfonso G. Tortorella and Luca Vitagliano},
journal= {arXiv preprint arXiv:1410.8446},
year = {2019}
}
Comments
41 pages, v2: several revisions, title and abstract slightly changed, mathematics unchanged; final version, to appear in J. Sympl. Geom. 16 (2018)