22 citations · 88 across the 32 of their papers we have counts for
33 papers
Exotic diffeomorphisms on closed aspherical -manifolds
Hokuto Konno, Jianfeng Lin, Anubhav Mukherjee +1
We study a class of diffeomorphisms of closed manifolds obtained from Davis' reflection trick construction, which are obtained by reflecting a diffeomorphism supported in the funda…
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 . B…
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…
The homology of moduli spaces of 4-manifolds may be infinitely generated
Hokuto Konno
For a simply-connected closed manifold of , the mapping class group is known to be finitely generated. We prove that analogous finite gen…
Exotic Dehn twists on 4-manifolds
Hokuto Konno, Abhishek Mallick, Masaki Taniguchi
We initiate the study of exotic Dehn twists along 3-manifolds inside -manifolds, which produces the first known examples of exotic diffeomorphisms of contractible 4-m…
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…
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…
Exotic codimension-1 submanifolds in 4-manifolds and stabilizations
Hokuto Konno, Anubhav Mukherjee, Masaki Taniguchi
In a small simply-connected closed 4-manifold, we construct infinitely many pairs of exotic codimension- submanifolds with diffeomorphic complements that remain exotic after any…
Homological instability for moduli spaces of smooth 4-manifolds
Hokuto Konno, Jianfeng Lin
We prove that homological stability fails for the moduli space of any simply-connected closed smooth 4-manifold in any degree of homology, unlike what happens in all dimensions $\n…
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…
Diffeomorphisms of 4-manifolds with boundary and exotic embeddings
Nobuo Iida, Hokuto Konno, Anubhav Mukherjee +1
We define family versions of the invariant of 4-manifolds with contact boundary due to Kronheimer and Mrowka and use these to detect exotic diffeomorphisms of 4-manifolds with boun…
Dehn twists and the Nielsen realization problem for spin 4-manifolds
Hokuto Konno
We prove that, for a closed oriented smooth spin 4-manifold with non-zero signature, the Dehn twist about a - or -sphere in is not homotopic to any finite order…
Involutions, knots, and Floer K-theory
Hokuto Konno, Jin Miyazawa, Masaki Taniguchi
We establish a version of Seiberg--Witten Floer -theory for knots, as well as a version of Seiberg-Witten Floer -theory for 3-manifolds with involution. The main theorems are…
Positive scalar curvature and homology cobordism invariants
Hokuto Konno, Masaki Taniguchi
We determine the local equivalence class of the Seiberg-Witten Floer stable homotopy type of a spin rational homology 3-sphere embedded into a spin rational homology $S^{1} \ti…
A note on exotic families of 4-manifolds
Tsuyoshi Kato, Hokuto Konno, Nobuhiro Nakamura
We present a pair of smooth fiber bundles over the circle with a common -dimensional fiber with the following properties: (1) their total spaces are diffeomorphic to each other;…
The groups of diffeomorphisms and homeomorphisms of 4-manifolds with boundary
Hokuto Konno, Masaki Taniguchi
We give constraints on smooth families of 4-manifolds with boundary using Manolescu's Seiberg-Witten Floer stable homotopy type, provided that the fiberwise restrictions of the fam…
Constraints on families of smooth 4-manifolds from -monopole
Hokuto Konno, Nobuhiro Nakamura
Using the Seiberg-Witten monopole equations, Baraglia recently proved that for most of simply-connected closed smooth -manifolds , the inclusions $\mathrm{Diff}(X) \hookright…