Invariants of codimension 2 contact submanifolds
Abstract/Contents
- Abstract
- We construct new invariants of codimension 2 contact submanifolds. Our main invariant can be viewed as a deformation of the contact homology algebra of the ambient manifold. We describe various applications of these invariants to contact topology. In particular, we exhibit examples of codimension 2 contact embeddings into overtwisted and tight contact manifolds which are formally isotopic but fail to be isotopic through contact embeddings. We also give new obstructions to certain relative symplectic and Lagrangian cobordisms
Description
| Type of resource | text |
|---|---|
| Form | electronic resource; remote; computer; online resource |
| Extent | 1 online resource |
| Place | California |
| Place | [Stanford, California] |
| Publisher | [Stanford University] |
| Copyright date | 2021; ©2021 |
| Publication date | 2021; 2021 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Author | Fauteux-Chapleau, Francois-Simon |
|---|---|
| Degree supervisor | Eliashberg, Y, 1946- |
| Thesis advisor | Eliashberg, Y, 1946- |
| Thesis advisor | Ionel, Eleny |
| Thesis advisor | Manolescu, Ciprian, 1978- |
| Degree committee member | Ionel, Eleny |
| Degree committee member | Manolescu, Ciprian, 1978- |
| Associated with | Stanford University, Department of Mathematics |
Subjects
| Genre | Theses |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Francois-Simon Fauteux-Chapleau |
|---|---|
| Note | Submitted to the Department of Mathematics |
| Thesis | Thesis Ph.D. Stanford University 2021 |
| Location | https://purl.stanford.edu/kf654nf5630 |
Access conditions
- Copyright
- © 2021 by Francois-Simon Fauteux-Chapleau
Also listed in
Loading usage metrics...