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March 2013 Extensions of the Euler-Satake characteristic determine point singularities of orientable 3-orbifolds
Ryan Carroll, Christopher Seaton
Kodai Math. J. 36(1): 179-188 (March 2013). DOI: 10.2996/kmj/1364562729

Abstract

We compute the extensions of the Euler-Satake characteristic of a closed, effective, orientable 3-orbifold corresponding to free and free abelian groups in terms of the number and type of point singularities of the orbifold. Using these computations, we show that the free Euler-Satake characteristics determine the number and type of point singularities, and that it takes an infinite collection of free Euler-Satake characteristics to do so. Additionally, we show that the stringy orbifold Euler characteristic determines all of the free abelian Euler-Satake characteristics for an orbifold in this class.

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Ryan Carroll. Christopher Seaton. "Extensions of the Euler-Satake characteristic determine point singularities of orientable 3-orbifolds." Kodai Math. J. 36 (1) 179 - 188, March 2013. https://doi.org/10.2996/kmj/1364562729

Information

Published: March 2013
First available in Project Euclid: 29 March 2013

zbMATH: 1272.57019
MathSciNet: MR3043409
Digital Object Identifier: 10.2996/kmj/1364562729

Rights: Copyright © 2013 Tokyo Institute of Technology, Department of Mathematics

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Vol.36 • No. 1 • March 2013
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