Sutured ECH is a Natural Invariant

Çaǧatay Kutluhan; Steven Sivek; C. H. Taubes

doi:10.1090/memo/1350

Sutured ECH is a Natural Invariant

Çaǧatay Kutluhan
, Steven Sivek
, C. H. Taubes

Mathematics

University at Buffalo

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	1-148
Number of pages	148
Journal	Memoirs of the American Mathematical Society
Volume	275
Issue number	1350
DOIs	https://doi.org/10.1090/memo/1350
State	Published - 2022

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title = "Sutured ECH is a Natural Invariant",

abstract = "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.",

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AU - Sivek, Steven

AU - Taubes, C. H.

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N2 - 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.

AB - 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.

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U2 - 10.1090/memo/1350

DO - 10.1090/memo/1350

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Sutured ECH is a Natural Invariant

Abstract

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