Orbifold Fundamental Group and Deck Translation Group  

Orbifold基本群和Deck变换群

作　　者：LIN Yi-wu 林奕武(School of Financial Mathematics and Statistics,Guangdong University of Finance,Guangzhou 510521,China)

机构地区：[1]School of Financial Mathematics and Statistics,Guangdong University of Finance,Guangzhou 510521,China

出　　处：《Chinese Quarterly Journal of Mathematics》2022年第2期147-161,共15页数学季刊（英文版）

基　　金：Supported by General Project of Science Research of Guangzhou(Grant No.2017070126);National Natural Science Foundation of China(Grant No.11226034).

摘　　要：In this paper, we define the notions of orbifold loop and orbifold road, with which, we reformulate the definition of orbifold fundamental group and deck translation group. We show that, for each orbifold, the orbifold fundamental group is isomorphic to the deck translation group.

关 键 词：Groupoid presentation Orbifold loop Orbifold road Orbifold fundamental group Deck translation group 

分 类 号：O189.2[理学—数学]