Orbifold 基本群和 Deck 变换群

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

数学季刊 ›› 2022, Vol. 37 ›› Issue (2): 147-161.doi: 10.13371/j.cnki.chin.q.j.m.2022.02.005

Orbifold 基本群和 Deck 变换群

School of Financial Mathematics and Statistics, Guangdong University of Finance

收稿日期:2021-08-27 出版日期:2022-06-30 发布日期:2022-06-30
通讯作者: LIN Yi-wu, (1980-) male, native of Shantou, Guangdong, associate professor of Guangdong University of Finance, engages in orbifold and stringy topology. E-mail: linyiwu@tom.com
作者简介:LIN Yi-wu, (1980-) male, native of Shantou, Guangdong, associate professor of Guangdong University of Finance, engages in orbifold and stringy topology.
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).

Orbifold Fundamental Group and Deck Translation Group

School of Financial Mathematics and Statistics, Guangdong University of Finance

Received:2021-08-27 Online:2022-06-30 Published:2022-06-30
Contact: LIN Yi-wu, (1980-) male, native of Shantou, Guangdong, associate professor of Guangdong University of Finance, engages in orbifold and stringy topology. E-mail: linyiwu@tom.com
About author:LIN Yi-wu, (1980-) male, native of Shantou, Guangdong, associate professor of Guangdong University of Finance, engages in orbifold and stringy topology.
Supported by:
Supported by General Project of Science Research of Guangzhou (Grant No. 2017070126); National Natural Science Foundation of China (Grant No. 11226034).

摘要/Abstract

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

Abstract: 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.

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

中图分类号:

O189.2

林奕武. Orbifold 基本群和 Deck 变换群[J]. 数学季刊, 2022, 37(2): 147-161.

LIN Yi-wu. Orbifold Fundamental Group and Deck Translation Group[J]. Chinese Quarterly Journal of Mathematics, 2022, 37(2): 147-161.

[1]	任世全, 王冲. 有向图的加权解析挠率[J]. 数学季刊, 2023, 38(1): 30-49.
[2]	王志成. 正合范畴中的Gorenstein性和Tate上同调[J]. 数学季刊, 2015, 30(1): 79-92.
[3]	韩国强, 姚海楼. 双列关联代数[J]. 数学季刊, 2014, 29(2): 244-246.
[4]	刘宇红, 付军 . eneLusternik-Schnirelmann定理的推广[J]. 数学季刊, 2002, 16(3): 84-87.

Orbifold 基本群和 Deck 变换群

Orbifold Fundamental Group and Deck Translation Group

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 4

编辑推荐

Metrics

本文评价