Deformations of coisotropic submanifolds for fibrewise entire Poisson structures

Schatz, Florian; Zambon, Marco

doi:10.1007/s11005-013-0614-9

Reference : Deformations of coisotropic submanifolds for fibrewise entire Poisson structures


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/22567

Title :	Deformations of coisotropic submanifolds for fibrewise entire Poisson structures
Language :	English
Author, co-author :	Schatz, Florian [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
	Zambon, Marco [KU Leuven (Leuven, Belgium) > Departement of Mathematics > > Associate Professor]
Publication date :	2013
Journal title :	Letters in Mathematical Physics
Publisher :	Springer Science & Business Media B.V.
Volume :	103
Issue/season :	7
Pages :	777-791
Peer reviewed :	Yes (verified by ORBi^lu)
Audience :	International
ISSN :	0377-9017
e-ISSN :	1573-0530
City :	Dordrecht
Country :	The Netherlands
Keywords :	[en] coisotropic submanifolds ; higher derived brackets ; deformation theory
Abstract :	[en] We show that deformations of a coisotropic submanifold inside a fibrewise entire Poisson manifold are controlled by the L-infinity-algebra introduced by Oh-Park (for symplectic manifolds) and Cattaneo-Felder. In the symplectic case, we recover results previously obtained by Oh-Park. Moreover we consider the extended deformation problem and prove its obstructedness.
Research centres :	Department of Mathematics, Utrecht University (Utrecht, The Netherlands)
Funders :	FCT through projects PTDC/MAT/098770/2008 and PTDC/MAT/099880/2008 ; MICINN RYC-2009-04065, MTM2009-08166-E, MTM2011-22612, ICMAT Severo Ochoa project SEV-2011-0087 (Spain) ; ERC Starting Grant no. 279729 ; Utrecht University (Utrecht, The Netherlands)
Target :	Researchers
Permalink :	http://hdl.handle.net/10993/22567
DOI :	10.1007/s11005-013-0614-9
Other URL :	http://link.springer.com/article/10.1007%2Fs11005-013-0614-9
Mentions required by the publisher for OA :	The original publication is available at http://link.springer.com/article/10.1007%2Fs11005-013-0614-9

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