[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)