Deformations of coisotropic submanifolds in locally conformal symplectic manifolds

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Deformations of coisotropic submanifolds in locally conformal symplectic manifolds

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Deformations of coisotropic submanifolds in locally conformal symplectic manifolds

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

—

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2016

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Asian Journal of Mathematics

ISSN

1093-6106

e-ISSN

—

Svazek periodika

20

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

44

Strana od-do

553-596

Kód UT WoS článku

000381328800007

EID výsledku v databázi Scopus

2-s2.0-84983554765