Loose legendrian embeddings in high dimensional contact manifolds
Abstract/Contents
- Abstract
- We give an h-principle type result for a class of Legendrian embeddings in contact manifolds of dimension at least $5$. These Legendrians, referred to as loose, have trivial pseudo-holomorphic invariants. We demonstrate they are classified up to ambient contact isotopy by smooth embedding class equipped with an almost complex framing. This result is inherently high dimensional: analogous results in dimension $3$ are false.
Description
| Type of resource | text |
|---|---|
| Form | electronic; electronic resource; remote |
| Extent | 1 online resource. |
| Publication date | 2012 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Associated with | Murphy, Maxwell Le |
|---|---|
| Associated with | Stanford University, Department of Mathematics |
| Primary advisor | Eliashberg, Y, 1946- |
| Thesis advisor | Eliashberg, Y, 1946- |
| Thesis advisor | Cohen, Ralph L, 1952- |
| Thesis advisor | Ionel, Eleny |
| Advisor | Cohen, Ralph L, 1952- |
| Advisor | Ionel, Eleny |
Subjects
| Genre | Theses |
|---|
Bibliographic information
| Statement of responsibility | Emmy Murphy. |
|---|---|
| Note | Submitted to the Department of Mathematics. |
| Thesis | Thesis (Ph.D.)--Stanford University, 2012. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2012 by Maxwell Le Murphy
- License
- This work is licensed under a Creative Commons Attribution 3.0 Unported license (CC BY).
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