3 papers
math.GT2025
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.…
math.SG2025
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…
math.SG2024
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…