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Texas A&M University

Noncommutative Geometry Seminar

Date: November 27, 2023

Time: 10:00AM - 11:00AM

Location: BLOC 302

Speaker: Xiang Tang, Washington University in St. Louis


Title: Mapping Cone, Morse Theory, and Witten Deformation

Abstract: Inspired by a cohomology theory introduced by Tsai, Tseng, and Yau for symplectic manifolds, we introduce a mapping cone construction for Morse theory. We will also explain how to use Witten's deformation and instanton complex to study this mapping cone complex in the case of symplectic manifolds.