Fundamental Groups of Real Toric Spaces over Simple Polytopes

作     者：Zhi LU Song ZHANG Zhi Lü;Song ZHANG

作者机构：School of Mathematical SciencesFudan UniversityShanghai 200433P.R.China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2022年第38卷第10期

页      面：1887-1900页

核心收录：

学科分类：07[理学] 0701[理学-数学] 

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

主　　题：Real toric space fundamental group simple polytope real Buchstaber invariant 

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.