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math.GT2001
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…
math.GT2001
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…
math.GT2001
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…