Orbifold Fundamental Group and Deck Translation Group

LIN Yi-wu

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

Chinese Quarterly Journal of Mathematics >

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

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

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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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

Cite this article

LIN Yi-wu . Orbifold Fundamental Group and Deck Translation Group[J]. Chinese Quarterly Journal of Mathematics, 2022 , 37(2) : 147 -161 . DOI: 10.13371/j.cnki.chin.q.j.m.2022.02.005

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