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.
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