Heegaard Floer homology and contact structures

By Peter S. Ozsv'ath, Zolt'an Szab'o. 2005

272 citations recorded by the source corpus.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8b1734814d0e5bf52c7f9cd0666f4784cd192838

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Discrete Mathematics and Combinatorics

1. A. Stipsicz
2. Yi Ni
3. P. Lisca
4. P. Ghiggini
5. John A. Baldwin
6. Peter S. Ozsv'ath
7. Zolt'an Szab'o
8. K. Honda

In Geometry and Topology

1. A. Stipsicz
2. Peter S. Ozsv'ath
3. John A. Baldwin
4. Andr'as Juh'asz
5. Ian Zemke
6. Zolt'an Szab'o
7. Yi Ni
8. P. Ghiggini

In Mathematical Physics

1. A. Stipsicz
2. Peter S. Ozsv'ath
3. John A. Baldwin
4. Yi Ni
5. Andr'as Juh'asz
6. Zolt'an Szab'o
7. M. Hedden
8. P. Ghiggini

Citations in the corpus

• On knot Floer homology in double branched covers (2007, methodology): “1 In [12] P. Ozsváth and Z. Szabó constructed a spectral sequence which converged to ĤF (Y ) for Y a double branched cover of a link in S3.”
• Heegaard Floer homology and genus one, one‐boundary component open books (2008, methodology): “In [ 29 ], Ozsv´ath and Szab´o compute the Heegaard Floer homology of 1/n-surgery on T for all n ∈ Z, and of 1/n-surgery on E for n > 0. We have copied and expanded their results using the symmetry of Heegaard Floer homology under orientation reversal (see [28]) in the following proposition.”
• On the equivalence of Legendrian and transverse invariants in knot Floer homology (2011, background): “Y; / is defined in Ozsváth and Szabó [31] – via a filtration on c CF.”
• The Thurston norm, fibered manifolds and twisted Alexander polynomials (2005, background): “We note that later Jacob Rasmussen also showed that these 13 knots are not fibered using knot Floer homology (cf. [ OS05 , Section 3]).”
• A cylindrical reformulation of Heegaard Floer homology (2005, background): “Geometry & Topology 10 (2006) 955–1096 955 arXiv version: fonts, pagination and layout may vary from GT published version”
• Ozsváth-Szabó invariants and tight contact three-manifolds, II (2004, background): “In a remarkable series of papers [19, 20, 21, 24 ] Ozsv´ath and Szab´o defined new invariants of many low–dimensional objects — including contact structures on closed 3–manifolds.”
• Knot Floer homology detects fibred knots (2007, background): “HFK(Y,K) is a single Z [ 16 ]. Ozsv´ath and Szab´o conjectured that the converse is also true for knots in S 3 [18].”
• Link Floer homology and the Thurston norm (2006, background): “In [24], it is shown that if a knot K ⊂ Y is a null-homologous knot in a threemanifold which is also fibered, then its topmost non-trivial Floer homology group is one-dimensional.”