Betti numbers of finite volume orbifolds

Samet, Iddo¹

¹ Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, Chicago, IL 60607, USA

Geometry & topology, Tome 17 (2013) no. 2, pp. 1113-1147.

Résumé

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.

Détail

DOI : 10.2140/gt.2013.17.1113

Classification : 53C20
Keywords: orbifolds, homology, Betti numbers, negative curvature

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