Title   name
The 5th Korea Toric Topology Winter Workshop
 
  Title
  Speaker   Zhi Lu    
  Date 2019-01-23
  Host
  Place Gyeongju, K- Hotel
  File  의 1 번째 Real Media 동영상입니다.
 
Abstract : Let M be a (topological) connected manifold with an action of a finite group G. We establish the notion of (pure) orbit braid groups for the G-manifold. We will see that this notion is not only the generalization to the classical (pure) braid groups de ned by the fundamental groups 1(F(M; n)) and 1(F(M; n)=) of the con guration space F(M; n) of M, but also the classical (pure) braid groups can be regarded as subgroups of the orbit braid group de ned by us. In addition, we also study the relation between the orbit braid group and the fundamental group of the orbit con guration space FG(M; n).We try to establish a theory of orbit braid group. This is a joint work with Hao Li and Fengling Li.