THE EQUIVARIANT FUNDAMENTAL GROUPOID AS AN ORBIFOLD INVARIANT

被引：0

作者：

Pronk, Dorette ^{[1
]}

Scull, Laura ^{[2
]}

机构：

[1] Dalhousie Univ, Dept Math & Stat, Chase Bldg, Halifax, NS B3H 4R2, Canada

[2] Ft Lewis Coll, Dept Math, 1000 Rim Dr, Durango, CO 81301 USA

来源：

HOMOLOGY HOMOTOPY AND APPLICATIONS | 2021年 / 23卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

equivariant homotopy theory; orbifold; fundamental groupoid; groupoid; Morita invariance; COHOMOLOGY; SHEAVES;

D O I：

10.4310/HHA.2021.v23.n1.a3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct a 2-category version of tom Dieck's equivariant fundamental groupoid for representable orbifolds and show that the discrete fundamental groupoid is Morita invariant; hence it is an orbifold invariant for representable orbifolds.

引用

页码：25 / 47

页数：23

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