Deformations of coisotropic submanifolds in Jacobi manifolds

0501808 - MÚ 2019 RIV US eng J - Journal Article
Le, Hong-Van - Oh, Y.-G. - Tortorella, A. G. - Vitagliano, L.
Deformations of coisotropic submanifolds in Jacobi manifolds.
Journal of Symplectic Geometry. Roč. 16, č. 4 (2018), s. 1051-1116. ISSN 1527-5256. E-ISSN 1540-2347
Institutional support: RVO:67985840
Keywords : equivalences * geometry * Jacobi manifolds
OECD category: Pure mathematics
Impact factor: 0.985, year: 2018
https://www.intlpress.com/site/pub/pages/journals/items/jsg/content/vols/0016/0004/a007/

In this paper, we attach an L-infinity-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), Le-Oh (locally conformal symplectic case). As a new special case, we attach an L-infinity-algebra to any coisotropic submanifold in a contact manifold. The L-infinity-algebra of a coisotropic submanifold S governs the (formal) deformation problem of S.
Permanent Link: http://hdl.handle.net/11104/0293792