2 citations · 10 across the 12 of their papers we have counts for
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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…
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…
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…