Volume and homology growth of aspherical manifolds
Geometric Topology
2016-05-04 v4
Abstract
We provide upper bounds on the size of the homology of a closed aspherical Riemannian manifold that only depend on the systole and the volume of balls. Further, we show that linear growth of mod p Betti numbers or exponential growth of torsion homology imply that a closed aspherical manifold is "large".
Keywords
Cite
@article{arxiv.1403.7319,
title = {Volume and homology growth of aspherical manifolds},
author = {Roman Sauer},
journal= {arXiv preprint arXiv:1403.7319},
year = {2016}
}
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