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