4 citations · 7 across the 3 of their papers we have counts for
9 papers · 1 filter
Notes on the isotopy finiteness
Vincent Colin, Emmanuel Giroux, Ko Honda
This is the less official, English version of the proof of the fact that every closed atoroidal 3-manifold carries finitely many isotopy classes of tight contact structures.
On the coarse classification of tight contact structures
Vincent Colin, Emmanuel Giroux, Ko Honda
We present a sketch of the proof of the following theorems: (1) Every 3-manifold has only finitely many homotopy classes of 2-plane fields which carry tight contact structures. (2)…
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…
Gluing tight contact structures
Ko Honda
We prove gluing theorems for tight contact structures. In particular, we rederive (as special cases) gluing theorems due to Colin and Makar-Limanov, and present an algorithm for de…
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…