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Loose legendrian embeddings in high dimensional contact manifolds

Author: Maxwell Le Murphy; Y Eliashberg; Ralph L Cohen; Eleny Ionel; Stanford University. Department of Mathematics.
Publisher: 2012.
Dissertation: Ph. D. Stanford University 2012
Edition/Format:   Thesis/dissertation : Document : Thesis/dissertation : eBook   Computer File : English
Database:WorldCat
Summary:
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  Read more...
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Details

Material Type: Document, Thesis/dissertation, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Maxwell Le Murphy; Y Eliashberg; Ralph L Cohen; Eleny Ionel; Stanford University. Department of Mathematics.
OCLC Number: 808773315
Notes: Submitted to the Department of Mathematics.
Description: 1 online resource
Responsibility: Emmy Murphy.

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.

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