Geodesic
HF = HM, I : Heegaard Floer homology and Seiberg–Witten Floer homology
Kutluhan, Çağatay1 ; Lee, Yi-Jen2 ; Taubes, Clifford3
1Department of Mathematics, University at Buffalo, Buffalo, NY, United States
2Institute of Mathematical Sciences, The Chinese University of Hong Kong, Shatin, NT, Hong Kong
3Department of Mathematics, Harvard University, Cambridge, MA, United States
Geometry & topology, Tome 24 (2020) no. 6, pp. 2829-2854
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Let M be a closed, connected and oriented 3–manifold. This article is the first of a five-part series that constructs an isomorphism between the Heegaard Floer homology groups of M and the corresponding Seiberg–Witten Floer homology groups of M.

Classification : 53C07, 53C15
Keywords: Heegaard Floer homology, Seiberg–Witten Floer homology

Kutluhan, Çağatay  1   ; Lee, Yi-Jen  2   ; Taubes, Clifford  3

1 Department of Mathematics, University at Buffalo, Buffalo, NY, United States
2 Institute of Mathematical Sciences, The Chinese University of Hong Kong, Shatin, NT, Hong Kong
3 Department of Mathematics, Harvard University, Cambridge, MA, United States 
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     author = {Kutluhan, \c{C}a\u{g}atay and Lee, Yi-Jen and Taubes, Clifford},
     title = {HF = {HM,} {I} : {Heegaard} {Floer} homology and {Seiberg{\textendash}Witten} {Floer} homology},
     journal = {Geometry & topology},
     pages = {2829--2854},
     year = {2020},
     volume = {24},
     number = {6},
     url = {http://geodesic.mathdoc.fr/item/GT_2020_24_6_a4/}
}
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Kutluhan, Çağatay; Lee, Yi-Jen; Taubes, Clifford. HF = HM, I : Heegaard Floer homology and Seiberg–Witten Floer homology. Geometry & topology, Tome 24 (2020) no. 6, pp. 2829-2854. http://geodesic.mathdoc.fr/item/GT_2020_24_6_a4/

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