Title   name
The 5th Korea Toric Topology Winter Workshop
  Speaker   Lisu Wu  
  Date 2019-01-22
  Place Gyeongju, K- Hotel
  File  의 1 번째 Real Media 동영상입니다. 의 1 번째 강연자료입니다.
Abstract : Davis and Januszkiewicz [Duke Math.J. 62(1911), pp. 417-451] proved that
the fundamental group of a small cover is isomorphic to the kernel of a map from the associated Coxeter group to Zn2 , such description may not be sucient in some speci c problems. In this talk, I will describe this relation more explicitly based on the presentation of fundamental group we have calculated. Furthermore, our main result shows that the 1-injectivity of a facial submanifold of a small cover only depends on the local combinatorial structure of the corresponding face. This is a joint work with Li Yu.