题 目：Zeta-instantons and Morse-Floer type homology
报告人：赫海龙 教授 （暨南大学）
时 间: 2018年5月24日 下午16：00
地 点: 西大楼 308 报告厅
摘 要：The Morse theory provides an insight on the relationship between the topology of a Riemannian manifold and the information of critical points. It was explained by E. Witten as a theory of the computation of ground states in supersymmetric quantum mechanics. For a symplectic manifold X with a compatible almost complex structure and a superpotential W: X→C, physicists introduce a Landau-Ginzburg model, which also can be studied as supersymmetric quantum mechanics. For any two critical points x and y of W and a specific phase ζ, one can obtain the ζ-solitons and the associated ζ-instantons. We will talk about relevant properties of the moduli space of ζ-instantons and give a construction of homology of Morse-Floer type.