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  On deformations of coisotropic submanifolds with fixed characteristic foliation

Geudens, S. (2024). On deformations of coisotropic submanifolds with fixed characteristic foliation. Letters in Mathematical Physics, 114(1): 5. doi:10.1007/s11005-023-01750-3.

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Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.

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 Creators:
Geudens, Stephane1, Author                 
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Symplectic Geometry
 Abstract: It is well-known that the deformation problem of a compact coisotropic submanifold
C in a symplectic manifold is obstructed in general. We show that it becomes unob-
structed if one only allows coisotropic deformations whose characteristic foliation is
diffeomorphic to that of C. This extends an unobstructedness result in the setting of
integral coisotropic submanifolds due to Ruan.

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Language(s): eng - English
 Dates: 2024
 Publication Status: Issued
 Pages: 48
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2212.04442
DOI: 10.1007/s11005-023-01750-3
 Degree: -

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Title: Letters in Mathematical Physics
Source Genre: Journal
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Publ. Info: Springer
Pages: - Volume / Issue: 114 (1) Sequence Number: 5 Start / End Page: - Identifier: -