69 citations · 77 across the 3 of their papers we have counts for
6 papers · 1 filter
Contact structures, sutured Floer homology and TQFT
Ko Honda, William H. Kazez, Gordana Matic
We describe the natural gluing map on sutured Floer homology which is induced by the inclusion of one sutured manifold (M',Γ') into a larger sutured manifold (M,Γ), together with a…
The contact invariant in sutured Floer homology
Ko Honda, William H. Kazez, Gordana Matic
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…
A cut-and-paste approach to contact topology
William H. Kazez
Contact structures on 3-manifolds are analyzed by decomposing the manifold along convex surfaces. Background results of Giroux, Eliashberg, Colin, and Honda are discussed with an e…
On the Gabai-Eliashberg-Thurston theorem
Ko Honda, William H. Kazez, Gordana Matic
We present a new, completely three-dimensional proof of the fact, due to Gabai-Eliashberg-Thurston, that every closed, oriented, irreducible 3-manifold with nonzero second homology…
Tight contact structures on fibered hyperbolic 3-manifolds
Ko Honda, William H. Kazez, Gordana Matic
We take a first step towards understanding the relationship between foliations and universally tight contact structures on hyperbolic 3-manifolds. If a surface bundle over a circle…
Convex decomposition theory
Ko Honda, William H. Kazez, Gordana Matic
We use convex decomposition theory to (1) reprove the existence of a universally tight contact structure on every irreducible 3-manifold with nonempty boundary, and (2) prove that…