Homology, Homotopy and Applications
Volume 23 (2021)
The equivariant fundamental groupoid as an orbifold invariant
Pages: 25 – 47
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.
equivariant homotopy theory, orbifold, fundamental groupoid, groupoid, Morita invariance
2010 Mathematics Subject Classification
18E15, 55Q91, 57R18
The first author’s research is funded by an NSERC Discovery Grant.
Received 4 October 2019
Received revised 18 February 2020
Accepted 4 March 2020
Published 5 August 2020