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2013 Betti numbers of finite volume orbifolds
Iddo Samet
Geom. Topol. 17(2): 1113-1147 (2013). DOI: 10.2140/gt.2013.17.1113

Abstract

We prove that the Betti numbers of a negatively curved orbifold are linearly bounded by its volume, generalizing a theorem of Gromov that establishes this bound for manifolds. An immediate corollary is that Betti numbers of a lattice in a rank-one Lie group are linearly bounded by its co-volume.

Citation

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Iddo Samet. "Betti numbers of finite volume orbifolds." Geom. Topol. 17 (2) 1113 - 1147, 2013. https://doi.org/10.2140/gt.2013.17.1113

Information

Received: 27 September 2011; Accepted: 29 October 2012; Published: 2013
First available in Project Euclid: 20 December 2017

zbMATH: 1267.53039
MathSciNet: MR3070520
Digital Object Identifier: 10.2140/gt.2013.17.1113

Subjects:
Primary: 53C20

Keywords: Betti numbers , homology , negative curvature , orbifolds

Rights: Copyright © 2013 Mathematical Sciences Publishers

Vol.17 • No. 2 • 2013
MSP
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