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Geometric Topology

Oliver Wang

Subevent of Geometric Topology - Thurs. AM

Eastern Time (US & Canada)

Starts at: 2025-03-06 11:05AM

Ends at: 2025-03-06 11:25AM

Equivariant Smoothings and the Whitehead Group

Oliver Wang ⟨wang.oliver96@gmail.com⟩

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×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 R.

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