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$\mathrm{HF}=\mathrm{HM}$,
I: Heegaard Floer homology and Seiberg–Witten Floer
homology
Çağatay Kutluhan, Yi-Jen Lee and Clifford Henry Taubes |
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Geometry & Topology 24 (2020) 2829–2854
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DOI: 10.2140/gt.2020.24.2829
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Abstract |
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Let be a closed, connected and oriented –manifold. This article is the first of a five-part series that constructs an isomorphism between the Heegaard Floer homology groups of and the corresponding Seiberg–Witten Floer homology groups of . |
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Keywords
Heegaard Floer homology, Seiberg–Witten Floer homology
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Mathematical Subject Classification 2010
Primary: 53C07, 53C15
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References |
Publication
Received: 17 February 2012
Revised: 3 November 2015
Accepted: 23 April 2018
Published: 29 December 2020
Proposed: Tomasz Mrowka
Seconded: András I Stipsicz, Bruce Kleiner
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Authors |
| Çağatay Kutluhan | |
| Department of Mathematics University at Buffalo Buffalo, NY United States |
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| Yi-Jen Lee | |
| Institute of Mathematical
Sciences The Chinese University of Hong Kong Shatin, NT Hong Kong |
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| Clifford Henry Taubes | |
| Department of Mathematics Harvard University Cambridge, MA United States |
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