3 papers
math.GT2023
Involutions, links, and Floer cohomologies
Hokuto Konno, Jin Miyazawa, Masaki Taniguchi
We develop a version of Seiberg--Witten Floer cohomology/homotopy type for a spin 4-manifold with boundary and with an involution which reverses the spin structure, as well…
math.GT2023
From diffeomorphisms to exotic phenomena in small 4-manifolds
Hokuto Konno, Abhishek Mallick, Masaki Taniguchi
We provide an approach to study exotic phenomena in relatively small 4-manifolds that captures many different exotic behaviors under one umbrella. These phenomena include exotic sm…
math.GT2022
A note on generalized Thurston--Bennequin inequalities
Nobuo Iida, Hokuto Konno, Masaki Taniguchi
We give a generalized Thurston--Bennequin-type inequality for links in using a Bauer--Furuta-type invariant for 4-manifolds with contact boundary. As a special case, we also…