Sign up or sign in

Dehn twist and smooth mapping class group of 4-manifolds  

Anubhav Mukherjee ⟨anubhavmaths@princeton.edu⟩

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.

Scheduled for: 2025-03-07 03:55 PM: Anubhav Mukherjee

Status: Accepted

Collection: Geometric Topology

Back to collection