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Geometric Topology

Anubhav Mukherjee

Subevent of Geometric Topology - Fri. PM

Eastern Time (US & Canada)

Starts at: 2025-03-07 03:55PM

Ends at: 2025-03-07 04:15PM

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.

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