Deformations of coisotropic submanifolds in Jacobi manifolds
SCIE
SCOPUS
- Title
- Deformations of coisotropic submanifolds in Jacobi manifolds
- Authors
- Le, Hong Van; Oh, Yong-Geun; Tortorella, Alfonso G.; Vitagliano, Luca
- Date Issued
- 2018-01
- Publisher
- INT PRESS BOSTON, INC
- Abstract
- 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.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/96081
- DOI
- 10.4310/JSG.2018.v16.n4.a7
- ISSN
- 1527-5256
- Article Type
- Article
- Citation
- JOURNAL OF SYMPLECTIC GEOMETRY, vol. 16, no. 4, page. 1051 - 1116, 2018-01
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