Reference : Equivalences of coisotropic submanifolds
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Equivalences of coisotropic submanifolds
Schatz, Florian mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Zambon, Marco [KU Leuven (Leuven, Belgium) > Department of Mathematics > > Associate Professor]
Journal of Symplectic Geometry
International Press
[en] coisotropic submanifolds ; deformation theory ; higher derived brackets
[en] We study the role that Hamiltonian and symplectic diffeomorphisms play in the deformation problem of coisotropic submanifolds. We prove that the action by Hamiltonian diffeomorphisms corresponds to the gauge-action of the L-infinity-algebra of Oh and Park. Moreover we introduce the notion of extended gauge-equivalence and show that in the case of Oh and Park's L-infinity-algebra one recovers the action of symplectic isotopies on coisotropic submanifolds. Finally, we consider the transversally integrable case in detail.
Centre for Quantum Geometry of Moduli Spaces, Aarhus University (Aarhus, Denmark)
Danish National Research Foundation by the Center of Excellence Grant “Centre for Quantum Geometry of Moduli Spaces” (DNRF95) ; MTM2011-22612 and ICMAT Seve ro Ochoa SEV-2011-0087 (Spain) ; esquisador Visitante Especial grant 88881.0 30367/2013-01 (CAPES/Brazil).
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