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Equivalences of coisotropic submanifolds

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  • Florian Schaetz, Denmark
  • Marco Zambon, KU Leuven, Belgium
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 $L_\infty$-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 $L_\infty$-algebra one recovers the action of symplectic isotopies on coisotropic submanifolds. Finally, we consider the transversally integrable case in detail.
Original languageEnglish
Number of pages30
Publication statusPublished - 12 Nov 2014

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