arXiv Analytics

Sign in

arXiv:math/0111120 [math.GT]AbstractReferencesReviewsResources

Growth of Betti Numbers

Bryan Clair, Kevin Whyte

Published 2001-11-09Version 1

Suppose X is any finite complex with vanishing L^2 Betti number. We prove upper bounds on the Betti numbers for regular coverings of X, sublinear in the order of covering. The bounds are sensitive to the Novikov-Shubin invariants of X, and are improved in the presence of a spectral gap.

Comments: 22 pages
Categories: math.GT, math.DG
Subjects: 57M10
Related articles: Most relevant | Search more
arXiv:math/0001019 [math.GT] (Published 2000-01-04)
On [L]-homotopy groups
arXiv:math/0210245 [math.GT] (Published 2002-10-16)
Upper Bounds for Ropelength as a Function of Crossing Number
arXiv:1106.0422 [math.GT] (Published 2011-06-02, updated 2011-06-03)
On upper bounds on stable commutator lengths in mapping class groups

Links

Toolbox