2 citations · 10 across the 12 of their papers we have counts for
12 papers
On dynamically convex contact manifolds and filtered symplectic homology
Myeonggi Kwon, Takahiro Oba
In this paper we are interested in characterizing the standard contact sphere in terms of dynamically convex contact manifolds which admit a Liouville filling with vanishing symple…
Symplectic submanifolds in dimension from hyperelliptic Lefschetz fibrations
Takahiro Oba
We provide a closed, simply connected, symplectic -manifold having infinitely many codimension symplectic submanifolds. These are mutually homologous but homotopy inequivale…
A four-dimensional mapping class group relation
Takahiro Oba
In the symplectic mapping class group of a -dimensional Weinstein domain, we give a relation between two products of (right-handed) Dehn twists via holomorphic curve techniques.…
Rational ruled surfaces as symplectic hyperplane sections
Myeonggi Kwon, Takahiro Oba
We study embeddability of rational ruled surfaces as symplectic hyperplane sections into closed integral symplectic manifolds. From this we obtain results on Stein fillability of B…
Lefschetz-Bott fibrations on line bundles over symplectic manifolds
Takahiro Oba
We describe Lefschetz-Bott fibrations on complex line bundles over symplectic manifolds explicitly. As an application, we construct more than one strong symplectic filling of the l…
Surfaces in with the same boundary and fundamental group
Takahiro Oba
We construct a family of pairs of non-isotopic symplectic surfaces in the standard symplectic -disk such that they are bounded by the same transverse knot in the standard contac…
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…
Canonical contact unit cotangent bundle
Takahiro Oba, Burak Ozbagci
We describe an explicit open book decomposition adapted to the canonical contact structure on the unit cotangent bundle of a compact surface.
Compact Stein surfaces as branched covers with same branch sets
Takahiro Oba
Loi and Piergallini showed that a smooth compact, connected -manifold with boundary admits a Stein structure if and only if is a simple branched cover of a -disk $D^4…
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…