Takahiro Oba

activity

20242026

collaborators

4 papers

math.GT2026

Every cusp singularity link admits infinitely many strong symplectic fillings

Naohiko Kasuya, Takahiro Oba

In this paper, we show that if the link of an isolated complex surface singularity is either a $S o l^{3}$ -manifold or an $S L (2; R)$ -manifold with its canonical con…

math.SG2025

Transfer maps in symplectic cohomology for convex symplectic domains

Myeonggi Kwon, Takahiro Oba

We construct transfer maps in symplectic cohomology for convex symplectic domains, assuming that the complement of a subdomain is exact. The construction uses an action filtration…

math.GT2024

A note on Stein fillability of circle bundles over symplectic manifolds

Takahiro Oba

We show that, given a closed integral symplectic manifold $(Σ, ω)$ of dimension $2 n \geq 4$ , for every integer $k > \int_{Σ} ω^{n}$ , the Boothby-Wang bundle over $(Σ, k ω)$ carries no St…

math.SG2024

Symplectic fillings of unit cotangent bundles of spheres and applications

Myeonggi Kwon, Takahiro Oba

We prove the uniqueness, up to diffeomorphism, of symplectically aspherical fillings of the unit cotangent bundle of odd-dimensional spheres. As applications, we first show the non…