3 papers
math.GT2026
Corks for exotic diffeomorphisms
Vyacheslav Krushkal, Anubhav Mukherjee, Mark Powell +1
We prove a localization theorem for exotic diffeomorphisms, showing that every diffeomorphism of a compact simply-connected 4-manifold that is isotopic to the identity after stabil…
math.GT2025
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…
math.GT2024
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…