Sutured ECH is a natural invariant
Symplectic Geometry
2022-01-25 v3 Geometric Topology
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.
Cite
@article{arxiv.1312.3600,
title = {Sutured ECH is a natural invariant},
author = {Cagatay Kutluhan and Steven Sivek and C. H. Taubes},
journal= {arXiv preprint arXiv:1312.3600},
year = {2022}
}
Comments
131 pages, 9 figures; main article by Cagatay Kutluhan and Steven Sivek with an appendix by C. H. Taubes. v2: many changes, notably a new section 7 and appendix which complete the naturality proof; v3: many more changes following referee reports