Reference : Deformations of coisotropic submanifolds for fibrewise entire Poisson structures
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/22567
Deformations of coisotropic submanifolds for fibrewise entire Poisson structures
English
Schatz, Florian mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Zambon, Marco [KU Leuven (Leuven, Belgium) > Departement of Mathematics > > Associate Professor]
2013
Letters in Mathematical Physics
Springer Science & Business Media B.V.
103
7
777-791
Yes (verified by ORBilu)
International
0377-9017
1573-0530
Dordrecht
The Netherlands
[en] coisotropic submanifolds ; higher derived brackets ; deformation theory
[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.
Department of Mathematics, Utrecht University (Utrecht, The Netherlands)
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)
Researchers
http://hdl.handle.net/10993/22567
10.1007/s11005-013-0614-9
http://link.springer.com/article/10.1007%2Fs11005-013-0614-9
The original publication is available at http://link.springer.com/article/10.1007%2Fs11005-013-0614-9

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Open access
ActualDef.pdfAuthor postprint264.52 kBView/Open

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.