Geometry and Topology Seminar——A Morse model for symmetric product spaces
报告人：Tianyu Yuan (Peking University)
时间：2023-03-08 13:00-15:00
地点：Room 1114, Sciences Building No. 1
Abstract: Given a manifold possibly with punctures, we define an A_infinity category whose objects are k-tuples of Morse functions. By counting the intersection between gradient trajectories and the diagonal of the symmetric product space, we get a q-deformation. As an application, we show that the endomorphism of k disjoint cotangent fibers over a disk viewed as in the Morse category is the Hecke algebra associated to the symmetric group.
