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)

 Extendabilities of periodic surfaces maps over n-spheres

  2022.04.27(星期三),14:30-16 :30

 点:数学院南楼N902

  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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