scholarly journals Noncommutative Hodge-to-de Rham spectral sequence and the Heegaard Floer homology of double covers

2016 ◽  
Vol 18 (2) ◽  
pp. 281-325 ◽  
Author(s):  
Robert Lipshitz ◽  
David Treumann
Keyword(s):  
Spectral Sequence ◽  
Floer Homology ◽  
Heegaard Floer Homology ◽  
De Rham ◽  
Double Covers ◽  
Heegaard Floer

scholarly journals On the Heegaard Floer homology of branched double-covers

2005 ◽  
Vol 194 (1) ◽  
pp. 1-33 ◽  
Author(s):  
Peter Ozsváth ◽  
Zoltán Szabó
Keyword(s):  
Floer Homology ◽  
Heegaard Floer Homology ◽  
Double Covers ◽  
Heegaard Floer

scholarly journals Heegaard Floer homology as morphism spaces

10.4171/qt/25 ◽  
2011 ◽  
pp. 381-449 ◽  
Author(s):  
Robert Lipshitz ◽  
Peter Ozsváth ◽  
Dylan Thurston
Keyword(s):  
Floer Homology ◽  
Heegaard Floer Homology ◽  
Heegaard Floer

scholarly journals A connected sum formula for involutive Heegaard Floer homology

2017 ◽  
Vol 24 (2) ◽  
pp. 1183-1245 ◽  
Author(s):  
Kristen Hendricks ◽  
Ciprian Manolescu ◽  
Ian Zemke
Keyword(s):  
Floer Homology ◽  
Heegaard Floer Homology ◽  
Connected Sum ◽  
Sum Formula ◽  
Heegaard Floer

Heegaard–Floer homology

Knot Theory ◽  
2018 ◽  
pp. 467-482
Author(s):  
Vassily Manturov
Keyword(s):  
Floer Homology ◽  
Heegaard Floer Homology ◽  
Heegaard Floer

scholarly journals HF=HM, I : Heegaard Floer homology and Seiberg–Witten Floer homology

2020 ◽  
Vol 24 (6) ◽  
pp. 2829-2854
Author(s):  
Çağatay Kutluhan ◽  
Yi-Jen Lee ◽  
Clifford Taubes
Keyword(s):  
Floer Homology ◽  
Heegaard Floer Homology ◽  
Heegaard Floer

scholarly journals Rational cuspidal curves in projective surfaces. Topological versus algebraic obstructions

2017 ◽  
Vol 28 (14) ◽  
pp. 1750106
Author(s):  
Maciej Borodzik
Keyword(s):  
Floer Homology ◽  
Singular Points ◽  
The Other ◽  
Heegaard Floer Homology ◽  
Heegaard Floer ◽  
Bezout Theorem ◽  
Projective Surfaces

We study rational cuspidal curves in projective surfaces. We specify two criteria obstructing possible configurations of singular points that may occur on such curves. One criterion generalizes the result of Fernandez de Bobadilla, Luengo, Melle–Hernandez and Némethi and is based on the Bézout theorem. The other one is a generalization of the result obtained by Livingston and the author and relies on Ozsváth–Szabó inequalities for [Formula: see text]-invariants in Heegaard Floer homology. We show by means of explicit calculations that the two approaches give very similar obstructions.

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