Fundamental Groups of Real Toric Spaces over Simple Polytopes  

作　　者：Zhi LU Song ZHANG 

机构地区：[1]School of Mathematical Sciences,Fudan University,Shanghai 200433,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2022年第10期1887-1900,共14页数学学报（英文版）

基　　金：Partially supported by the NSFC(Grant No.11971112);the China Scholarship Council(Grant No.202106100095)。

摘　　要：In this paper we study the cubical stuctures and fundamental groups of real toric spaces.We give an explicit presentation of the fundamental group of the real toric space over a simple polytope.Then using this presentation,we give a description of the existence of non-degenerate colourings on a simple polytope from a homotopy point of view.

关 键 词：Real toric space fundamental group simple polytope real Buchstaber invariant 

分 类 号：O186.11[理学—数学]