Sutured ECH Is a Natural Invariant.

Format:

Book

Author/Creator:

Kutluhan, Çağatay.

Contributor:

Sivek, Steven.

Taubes, C. H.

Series:

Memoirs of the American Mathematical Society

Memoirs of the American Mathematical Society ; v.275

Language:

English

Subjects (All):

Homology theory.

Floer homology.

Three-manifolds (Topology).

Knot theory.

Physical Description:

1 online resource (148 pages)

Edition:

1st ed.

Place of Publication:

Providence : American Mathematical Society, 2022.

Summary:

"We show that sutured embedded contact homology is a natural invariant of sutured contact 3-manifolds which can potentially detect some of the topology of the space of contact structures on a 3-manifold with boundary. The appendix, by C. H. Taubes, proves a compactness result for the completion of a sutured contact 3-manifold in the context of Seiberg-Witten Floer homology, which enables us to complete the proof of naturality"-- Provided by publisher.

Contents:

Cover

Title page

Chapter 1. Introduction

1.1. Organization

1.2. Acknowledgments

Chapter 2. Sutured ECH and some related constructions

2.1. Sutured ECH

2.2. Contact 1-handles

2.3. Liouville forms on the boundary

2.4. Closed manifolds and continuation maps

Chapter 3. Independence of the almost complex structure

Chapter 4. Independence of the contact form

4.1. An isomorphism for isotopic contact forms

4.2. Isomorphisms and embedding data

4.3. A natural version of Theorem 4.5

Chapter 5. Some properties of the contact class

Chapter 6. Invariance under gluing 1-handles

Chapter 7. Stabilization and a canonical version of sutured ECH

Appendix A. Appendix by C. H. Taubes

A.1. Setting the stage

A.2. Monopoles

A.3. Instantons

A.4. A priori bounds for instantons

A.5. Local convergence to pseudo-holomorphic curves

A.6. Convergence of instantons as →∞

A.7. Comparing instantons on _{∞} and _{ }

Bibliography

Back Cover.

Notes:

Description based on publisher supplied metadata and other sources.

Includes bibliographical references.

Other Format:

Print version: Kutluhan, Çağatay Sutured ECH Is a Natural Invariant

ISBN:

9781470470166

1470470160

OCLC:

1292081848