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  5. 2025

Geometric Topology

Icon: calendar Oliver Wang | 2025 Mar 06 from 11:05AM to 11:25AM (Eastern Time (US & Canada)) | Forbes 2074

‟Equivariant Smoothings and the Whitehead Group” by Oliver Wang <wang.oliver96@gmail.com>, University of Virginia

Abstract:

A closed manifold $M$ of dimension at least $5$ has only finitely many smooth structures. Moreover, the product structure theorem states that the smooth structures on such an $M$ are in bijection with smooth structures on the product $M\times\mathbb{R}$. In this talk, I will describe a construction that gives rise to infinitely many equivariant smooth structures of a closed $G$-manifold $M$ which become isotopic after taking a product with $\mathbb{R}$.