2 citations · 4 across the 5 of their papers we have counts for
5 papers
A note on Stein fillability of circle bundles over symplectic manifolds
Takahiro Oba
We show that, given a closed integral symplectic manifold of dimension , for every integer , the Boothby-Wang bundle over carries no St…
Higher-dimensional contact manifolds with infinitely many Stein fillings
Takahiro Oba
For any integer , we construct an infinite family of Stein fillable contact -manifolds each of which admits infinitely many pairwise homotopy inequivalent Stein fi…
Planar Lefschetz fibrations and Stein structures with distinct Ozsvath-Szabo invariants on corks
Cagri Karakurt, Takahiro Oba, Takuya Ukida
Thanks to a result of Lisca and Matic and a refinement by Plamenevskaya, it is known that on a 4-manifold with boundary Stein structures with non-isomorphic Spinc structures induce…
Stein fillings of homology -spheres and mapping class groups
Takahiro Oba
In this article, using combinatorial techniques of mapping class groups, we show that a Stein fillable integral homology -sphere supported by an open book decomposition with pag…
A note on Mazur type Stein fillings of planar contact manifolds
Takahiro Oba
We construct a family of Stein fillable contact homology 3-spheres such that each contact structure of the family is supported by an open book with planar page, and a Stein filling…