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 |
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Form | electronic; electronic resource; remote |
Extent | 1 online resource. |
Publication date | 2012 |
Issuance | monographic |
Language | English |
Creators/Contributors
Associated with | Murphy, Maxwell Le | |
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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 |
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Bibliographic information
Statement of responsibility | Emmy Murphy. |
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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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