22 citations · 88 across the 32 of their papers we have counts for
5 papers · 1 filter
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…
On four-dimensional Dehn twists and Milnor fibrations
Hokuto Konno, Jianfeng Lin, Anubhav Mukherjee +1
We study the monodromy diffeomorphism of Milnor fibrations of isolated complex surface singularities, by computing the family Seiberg--Witten invariant of Seifert-fibered Dehn twis…
Exotically knotted closed surfaces from Donaldson's diagonalization for families
Hokuto Konno, Abhishek Mallick, Masaki Taniguchi
We introduce a method to detect exotic surfaces without explicitly using a smooth 4-manifold invariant or an invariant of a 4-manifold-surface pair in the construction. Our main to…
On localizing groups of exotic diffeomorphisms of 4-manifolds
Hokuto Konno, Abhishek Mallick
Ruberman in the 90's showed that the group of exotic diffeomorphisms of closed 4-manifolds can be infinitely generated. We provide various results on the question of when such infi…