Sign up or sign in
logo
  1. Topology and Dynamics
  2. Icon: chevron
  3. STDC
  4. Icon: chevron
  5. 2025

Geometric Topology

Icon: calendar Anubhav Mukherjee | 2025 Mar 07 from 03:55PM to 04:15PM (Eastern Time (US & Canada)) | Forbes 2074

‟Dehn twist and smooth mapping class group of 4-manifolds  ” by Anubhav Mukherjee <anubhavmaths@princeton.edu>, Princeton University

Abstract:

In this talk, I will present recent advancements in the study of smooth mapping class groups of 4-manifolds. Our work focuses on diffeomorphisms arising from Dehn twists along embedded 3-manifolds and their interaction with Seiberg-Witten theory. These investigations have led to intriguing applications across several areas, including symplectic geometry (related to Torelli symplectomorphisms), algebraic geometry (concerning the monodromy of singularities), and low-dimensional topology (involving exotic diffeomorphisms). This is collaborative work with Hokuto Konno, Jianfeng Lin, and Juan Munoz-Echaniz.