[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 de recherche :
Centre for Quantum Geometry of Moduli Spaces, Aarhus University (Aarhus, Denmark)
Disciplines :
Mathématiques
Auteur, co-auteur :
SCHATZ, Florian ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Zambon, Marco; KU Leuven (Leuven, Belgium) > Department of Mathematics > Associate Professor
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).
