Deformations of coisotropic submanifolds in locally conformal symplectic manifolds

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00460701" target="_blank" >RIV/67985840:_____/16:00460701 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.4310/AJM.2016.v20.n3.a7" target="_blank" >http://dx.doi.org/10.4310/AJM.2016.v20.n3.a7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4310/AJM.2016.v20.n3.a7" target="_blank" >10.4310/AJM.2016.v20.n3.a7</a>

Result language
angličtina
Original language name
Deformations of coisotropic submanifolds in locally conformal symplectic manifolds
Original language description
In this paper, we study deformations of coisotropic submanifolds in a locally conformal symplectic manifold. Firstly, we derive two equivalent equations that govern Cinfty deformations of coisotropic submanifolds. Using the first equation we define the corresponding Cinfty moduli space of coisotropic submanifolds modulo the Hamiltonian isotopies. Secondly, we prove that the formal deformation problem is governed by an Linfty-structure which is a b-deformation of strong homotopy Lie algebroids introduced in [OP] in the symplectic context. Then we study deformations of locally conformal symplectic structures and their moduli space. Using the second equation we study the corresponding bulk (extended) deformations of coisotropic submanifolds. Finally we revisit Zambon’s obstructed infinitesimal deformation [Za] in this enlarged context and prove that it is still obstructed.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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