The contact invariant in sutured Floer homology
By K. Honda, W. Kazez, G. Matić. 2007
112 citations recorded by the source corpus.
We describe an invariant of a contact 3-manifold with convex boundary as an element of Juhász’s sutured Floer homology. Our invariant generalizes the contact invariant in Heegaard Floer homology in the closed case, due to Ozsváth and Szabó.
Subfields: Geometry and Topology, Mathematical Physics, Neurology
View Paper: https://www.semanticscholar.org/paper/9adad329dcaa8a1829dbd5e2e3ee0d1523bf43c2
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Geometry and Topology
- A. Stipsicz
- John A. Baldwin
- Peter S. Ozsv'ath
- Zolt'an Szab'o
- Steven Sivek
- Ciprian Manolescu
- P. Lisca
- J. Greene
In Mathematical Physics
- John A. Baldwin
- A. Stipsicz
- Peter S. Ozsv'ath
- Steven Sivek
- Zolt'an Szab'o
- Ciprian Manolescu
- M. Hedden
- Ian Zemke
In Neurology
- A. Stipsicz
- John A. Baldwin
- Peter S. Ozsv'ath
- Steven Sivek
- Zolt'an Szab'o
- Ian Zemke
- M. Hedden
- Ciprian Manolescu
Citations in the corpus
- Khovanov homology detects the trefoils (2018, methodology): “h i, which satisfy ψ− i (EH(ξ − i )) = EH(ξ − i+1) and ψ + i (EH(ξ − i )) = EH(ξ + i+1), KHOVANOV HOMOLOGY DETECTS THE TREFOILS 7 where EH refers to the Honda-Kazez-Mati´c contact invariant defined in [HKM09]. The main result of [EVVZ17] says that HFK−(−Y,K) is isomorphic to the direct limit SFH(−Y(K”
- Contact surgeries and the transverse invariant in knot Floer homology (2008, background): “The motivation for the Legendrian and transverse invariants comes from the construction in [19], which gives an invariant for Legendrian and transverse knots in the standard contact three-sphere, taking values in the combinatorial knot Floer homology of [13, 14]; see also [9, 24] for other construct”
- Bordered Floer homology for sutured manifolds (2009, unknown): “Bordered sutured invariants and TQFT.”