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Deformations of coisotropic submanifolds in Jacobi manifolds
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SYSNO ASEP 0501808 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Deformations of coisotropic submanifolds in Jacobi manifolds Author(s) Le, Hong-Van (MU-W) RID, SAI, ORCID
Oh, Y.-G. (KR)
Tortorella, A. G. (IT)
Vitagliano, L. (IT)Source Title Journal of Symplectic Geometry. - : International Press - ISSN 1527-5256
Roč. 16, č. 4 (2018), s. 1051-1116Number of pages 66 s. Language eng - English Country US - United States Keywords equivalences ; geometry ; Jacobi manifolds Subject RIV BA - General Mathematics OECD category Pure mathematics Institutional support MU-W - RVO:67985840 UT WOS 000458305300007 EID SCOPUS 85050486512 DOI 10.4310/JSG.2018.v16.n4.a7 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2019
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