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Invariants of Codimension 2 Contact Submanifolds.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Invariants of Codimension 2 Contact Submanifolds./
Author:	Fauteux-Chapleau, Francois-Simon.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2021,
Description:	197 p.
Notes:	Source: Dissertations Abstracts International, Volume: 83-05, Section: B.
Contained By:	Dissertations Abstracts International83-05B.
Subject:	Maps. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28688340
ISBN:	9798544204084

Invariants of Codimension 2 Contact Submanifolds.
Fauteux-Chapleau, Francois-Simon.

Invariants of Codimension 2 Contact Submanifolds. - Ann Arbor : ProQuest Dissertations & Theses, 2021 - 197 p.

Source: Dissertations Abstracts International, Volume: 83-05, Section: B.

Thesis (Ph.D.)--Stanford University, 2021.

This item must not be sold to any third party vendors.

Codimension 2 contact submanifolds are the natural generalization of transverse knots to contact manifolds of arbitrary dimension. In this thesis, 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.

ISBN: 9798544204084Subjects--Topical Terms:

544078
Maps.

Invariants of Codimension 2 Contact Submanifolds.
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520 $a Codimension 2 contact submanifolds are the natural generalization of transverse knots to contact manifolds of arbitrary dimension. In this thesis, 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.
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