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arXiv · 1410.8446

Deformations of Coisotropic Submanifolds in Jacobi Manifolds

Hông Vân Lê·Yong-Geun Oh·Alfonso G. Tortorella·Luca Vitagliano
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Abstract

In this paper, we attach an $L_\infty$-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 $L_\infty$-algebra to any coisotropic submanifold in a contact manifold. The $L_\infty$-algebra of a coisotropic submanifold $S$ governs the (formal) deformation problem of $S$.

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BibTeXRIS

Hông Vân Lê, Yong-Geun Oh, Alfonso G. Tortorella, Luca Vitagliano. 2014-10-30. Deformations of Coisotropic Submanifolds in Jacobi Manifolds. https://arxiv.org/abs/1410.8446

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