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Publication

Equivalences of coisotropic submanifolds

Journal Contribution - Journal Article

© 2017, International Press of Boston, Inc. All rights reserved. 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∞-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∞-algebra one recovers the action of symplectic isotopies on coisotropic submanifolds. Finally, we consider the transversally integrable case in detail.
Journal: Journal of Symplectic Geometry
ISSN: 1527-5256
Issue: 1
Volume: 15
Pages: 107 - 149
Publication year:2017
BOF-keylabel:yes
IOF-keylabel:yes
BOF-publication weight:1
CSS-citation score:1
Authors:International
Authors from:Higher Education
Accessibility:Open