中科院数学与系统科学研究院

数学研究所

学术报告

拓扑研讨班

报告人：  王炜飙 （北京大学）

题  目：Extendabilities of periodic surfaces maps over n-spheres

时  间：2022.04.27（星期三），14:30-16 :30

地  点：数学院南楼N902室

摘  要：A self-homeomorphism f of a surface S is said to be extendable over a given manifold M, if S can be embedded into M such that f extends to a self-homeomorphism of M. We will discuss the extendabilities of periodic maps on closed orientable surfaces over 3-sphere and 4-sphere. For 3-sphere we give equivalent conditions for extendabilities and construct all the extendable maps. For 4-sphere we provide non-extendable examples for almost every genus.