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arXiv · 1312.3600

Sutured ECH is a natural invariant

Cagatay Kutluhan·Steven Sivek·C. H. Taubes
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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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Cagatay Kutluhan, Steven Sivek, C. H. Taubes. 2013-12-12. Sutured ECH is a natural invariant. https://doi.org/10.1090/memo/1350

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