Orbifold 基本群和&nbsp;Deck 变换群

林奕武

doi:10.13371/j.cnki.chin.q.j.m.2022.02.005

数学季刊 >

2022 , Vol. 37 >Issue 2: 147 - 161

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2022.02.005

Orbifold 基本群和 Deck 变换群

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School of Financial Mathematics and Statistics, Guangdong University of Finance

LIN Yi-wu, (1980-) male, native of Shantou, Guangdong, associate professor of Guangdong University of Finance, engages in orbifold and stringy topology.

收稿日期: 2021-08-27

网络出版日期: 2022-06-30

基金资助

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

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Orbifold Fundamental Group and Deck Translation Group

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School of Financial Mathematics and Statistics, Guangdong University of Finance

LIN Yi-wu, (1980-) male, native of Shantou, Guangdong, associate professor of Guangdong University of Finance, engages in orbifold and stringy topology.

Received date: 2021-08-27

Online published: 2022-06-30

Supported by

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

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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

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林奕武 . Orbifold 基本群和 Deck 变换群[J]. 数学季刊, 2022 , 37(2) : 147 -161 . DOI: 10.13371/j.cnki.chin.q.j.m.2022.02.005

Abstract

Key words： Groupoid presentation; Orbifold loop; Orbifold road; Orbifold fundamental group; Deck translation group

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