Geudens, Stephane;
(2023)
On deformations of coisotropic submanifolds with fixed characteristic foliation.
Letters in Mathematical Physics
, 114
, Article 5. 10.1007/s11005-023-01750-3.
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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 unobstructed 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.
| Type: | Article |
|---|---|
| Title: | On deformations of coisotropic submanifolds with fixed characteristic foliation |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s11005-023-01750-3 |
| Publisher version: | http://dx.doi.org/10.1007/s11005-023-01750-3 |
| Language: | English |
| Additional information: | 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. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10184902 |
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