A Theory of Orbit Braids  

作　　者：Fengling LI Hao LI Zhi LÜ 

机构地区：[1]School of Mathematical Sciences,Dalian University of Technology,Dalian 116024,China [2]School of Mathematical Sciences,Fudan University,Shanghai 200433,China

出　　处：《Chinese Annals of Mathematics,Series B》2023年第2期165-192,共28页数学年刊（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(No.11971112)。

摘　　要：In this paper,the authors systematically discuss orbit braids in M×I with regards to orbit configuration space FG(M,n),where M is a connected topological manifold of dimension at least 2 with an effective action of a finite group G.These orbit braids form a group,named orbit braid group,which enriches the theory of ordinary braids.The authors analyze the substantial relations among various braid groups associated to those configuration spaces FG(M,n),F(M/G,n)and F(M,n).They also consider the presentations of orbit braid groups in terms of orbit braids as generators by choosing M=C with typical actions of Zpand(Z_(2))^(2).

关 键 词：Orbit braid Orbit configuration space 

分 类 号：O152[理学—数学]