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2020 $\mathrm{HF}=\mathrm{HM}$, III: Holomorphic curves and the differential for the ech/Heegaard Floer correspondence
Çağatay Kutluhan, Yi-Jen Lee, Clifford Taubes
Geom. Topol. 24(6): 3013-3218 (2020). DOI: 10.2140/gt.2020.24.3013

Abstract

This is the third of five papers that construct an isomorphism between the Seiberg–Witten Floer homology and the Heegaard Floer homology of a given compact, oriented 3–manifold. The isomorphism is given as a composition of three isomorphisms; the first of these relates a version of embedded contact homology on an auxiliary manifold to the Heegaard Floer homology on the original. This paper describes the relationship between the differential on the embedded contact homology chain complex and the differential on the Heegaard Floer chain complex. The paper also describes the relationship between the various canonical endomorphisms that act on the homology groups of these two complexes.

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Çağatay Kutluhan. Yi-Jen Lee. Clifford Taubes. "$\mathrm{HF}=\mathrm{HM}$, III: Holomorphic curves and the differential for the ech/Heegaard Floer correspondence." Geom. Topol. 24 (6) 3013 - 3218, 2020. https://doi.org/10.2140/gt.2020.24.3013

Information

Received: 17 February 2012; Revised: 14 September 2016; Accepted: 23 April 2018; Published: 2020
First available in Project Euclid: 5 January 2021

MathSciNet: MR4194307
Digital Object Identifier: 10.2140/gt.2020.24.3013

Subjects:
Primary: 53D42

Rights: Copyright © 2020 Mathematical Sciences Publishers

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Vol.24 • No. 6 • 2020
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