11 papers
Diffeomorphism groups and gauge theory for families
Hokuto Konno
This article provides a survey of gauge theory for families, with a particular focus on its applications to diffeomorphism groups of -manifolds that were developed during the pe…
Gauge theory for families
Hokuto Konno
This article surveys gauge theory for families and its applications to the comparison between the diffeomorphism group and the homeomorphism group of -manifolds, up to 2021.
Constraints on Lefschetz fibrations with four-dimensional fibers from Seiberg-Witten theory
Hokuto Konno, Jianfeng Lin, Anubhav Mukherjee +1
We establish constraints on the topology of smooth Lefschetz fibrations with -dimensional fibers, by studying the family Bauer-Furuta invariant. To compute this invariant, we an…
On absolutely exotic diffeomorphisms of 4-manifolds
Hokuto Konno, Abhishek Mallick, Masaki Taniguchi
We prove that there exist infinitely many contractible compact smooth -manifolds that admit absolutely exotic diffeomorphisms of infinite order in .…
Irreducible 4-manifolds can admit exotic diffeomorphisms
David Baraglia, Hokuto Konno
We prove that a variety of examples of minimal complex surfaces admit exotic diffeomorphisms, providing the first known instances of exotic diffeomorphisms of irreducible 4-manifol…
The monodromy diffeomorphism of weighted singularities and Seiberg--Witten theory
Hokuto Konno, Jianfeng Lin, Anubhav Mukherjee +1
We prove that the monodromy diffeomorphism of a complex 2-dimensional isolated hypersurface singularity of weighted-homogeneous type has infinite order in the smooth mapping class…