A cube of resolutions for knot Floer homology
By Peter S. Ozsv'ath, Zolt'an Szab'o. 2007
59 citations recorded by the source corpus.
We develop a skein exact sequence for knot Floer homology, involving singular knots. This leads to an explicit, algebraic description of knot Floer homology in terms of a braid projection of the knot.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/247928cf30446a996aa4f543ec4236c367832c41
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In Discrete Mathematics and Combinatorics
- A. Stipsicz
- Peter S. Ozsv'ath
- Zolt'an Szab'o
- Ciprian Manolescu
- Jacob Rasmussen
- P. Lisca
- John A. Baldwin
- M. Hedden
In Geometry and Topology
- A. Stipsicz
- Peter S. Ozsv'ath
- Zolt'an Szab'o
- Ciprian Manolescu
- P. Lisca
- Jacob Rasmussen
- John A. Baldwin
- M. Hedden
In Mathematical Physics
- A. Stipsicz
- Peter S. Ozsv'ath
- Zolt'an Szab'o
- Ciprian Manolescu
- Jacob Rasmussen
- M. Hedden
- John A. Baldwin
- Ian Zemke
Citations in the corpus
- On the Khovanov and knot Floer homologies of quasi-alternating links (2007, unknown): “G T ] 2 6 M ar 2 00”
- Grid Homology for Knots and Links (2015, background): “The skein exact sequence can also be seen as a consequence of an exact triangle for singular knots; see [165, 183].”
- Heegaard Floer homology and integer surgeries on links (2010, unknown): “Indeed, there exist several combinatorial descriptions of knot Floer homology, see [9, 27, 13].”