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2020 $\mathrm{HF}=\mathrm{HM}$, IV: The Sieberg–Witten Floer homology and ech correspondence
Çağatay Kutluhan, Yi-Jen Lee, Clifford Taubes
Geom. Topol. 24(7): 3219-3469 (2020). DOI: 10.2140/gt.2020.24.3219

Abstract

This is the fourth 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. The second isomorphism relates the relevant version of the embedded contact homology on the auxiliary manifold with a version of the Seiberg–Witten Floer homology on this same manifold. The third isomorphism relates the Seiberg–Witten Floer homology on the auxiliary manifold with the appropriate version of Seiberg–Witten Floer homology on the original manifold. The paper describes the second of these isomorphisms.

Citation

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Çağatay Kutluhan. Yi-Jen Lee. Clifford Taubes. "$\mathrm{HF}=\mathrm{HM}$, IV: The Sieberg–Witten Floer homology and ech correspondence." Geom. Topol. 24 (7) 3219 - 3469, 2020. https://doi.org/10.2140/gt.2020.24.3219

Information

Received: 17 February 2012; Revised: 16 February 2019; Accepted: 14 November 2019; Published: 2020
First available in Project Euclid: 5 January 2021

MathSciNet: MR4194308
Digital Object Identifier: 10.2140/gt.2020.24.3219

Subjects:
Primary: 53C07
Secondary: 52C15

Rights: Copyright © 2020 Mathematical Sciences Publishers

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Vol.24 • No. 7 • 2020
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