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2013 Extensions of the Euler–Satake characteristic for nonorientable $3$-orbifolds and indistinguishable examples
Ryan Carroll, Christopher Seaton
Involve 6(3): 345-368 (2013). DOI: 10.2140/involve.2013.6.345

Abstract

We compute the F-Euler–Satake characteristics of an arbitrary closed, effective 3-dimensional orbifold Q where F 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 3-orbifolds Q and Q such that χΓES(Q)=χΓES(Q) for every finitely generated discrete group Γ.

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Ryan Carroll. Christopher Seaton. "Extensions of the Euler–Satake characteristic for nonorientable $3$-orbifolds and indistinguishable examples." Involve 6 (3) 345 - 368, 2013. https://doi.org/10.2140/involve.2013.6.345

Information

Received: 10 August 2012; Accepted: 10 October 2012; Published: 2013
First available in Project Euclid: 20 December 2017

zbMATH: 1286.57025
MathSciNet: MR3101766
Digital Object Identifier: 10.2140/involve.2013.6.345

Subjects:
Primary: 57R18 , 57R20
Secondary: 22A22 , 57S17

Keywords: $3$-orbifold , Euler–Satake characteristic , orbifold , orbifold Euler characteristic

Rights: Copyright © 2013 Mathematical Sciences Publishers

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Vol.6 • No. 3 • 2013
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