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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Final Defense
Scotty Tilton
UC San Diego
The boundary Dehn twist on a punctured connected sum of two K3 surfaces is exotic
Abstract:
Using stable homotopy tools derived from the Seiberg-Witten equations for families, we prove that the Dehn twist is not smoothly isotopic to the identity, even though it is topologically. The talk will explain the concepts needed and the method of proof. We will finish by talking about potential future directions.
Advisors: Zhouli Xu (UCSD and UCLA) and Jianfeng Lin (Tsinghua University)
December 3, 2025
5:00 PM
APM 7321 & Zoom (Meeting ID: 944 9718 8819 / Password: Diffeo)
Research Areas
Geometry and Topology****************************
