Involve: A Journal of Mathematics
- Volume 6, Number 3 (2013), 345-368.
Extensions of the Euler–Satake characteristic for nonorientable $3$-orbifolds and indistinguishable examples
We compute the -Euler–Satake characteristics of an arbitrary closed, effective -dimensional orbifold where is a free group with generators. We focus on the case of nonorientable orbifolds, extending previous results for the case of orientable orbifolds. Using these computations, we determine examples of distinct -orbifolds and such that for every finitely generated discrete group .
Involve, Volume 6, Number 3 (2013), 345-368.
Received: 10 August 2012
Accepted: 10 October 2012
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 57R18: Topology and geometry of orbifolds 57R20: Characteristic classes and numbers
Secondary: 22A22: Topological groupoids (including differentiable and Lie groupoids) [See also 58H05] 57S17: Finite transformation groups
Carroll, Ryan; Seaton, Christopher. Extensions of the Euler–Satake characteristic for nonorientable $3$-orbifolds and indistinguishable examples. Involve 6 (2013), no. 3, 345--368. doi:10.2140/involve.2013.6.345. https://projecteuclid.org/euclid.involve/1513733592