arXiv Analytics

Sign in

arXiv:math/0612404 [math.AT]AbstractReferencesReviewsResources

The l^2-cohomology of hyperplane complements

M. W. Davis, T. Januszkiewicz, I. J. Leary

Published 2006-12-14, updated 2007-03-15Version 2

We compute the l^2-Betti numbers of the complement of a finite collection of affine hyperplanes in complex space. At most one of the l^2-Betti numbers is non-zero.

Comments: v2: Correction to proof of main theorem
Categories: math.AT, math.GR, math.GT
Subjects: 52B30, 32S22, 52C35, 57N65, 58J22
Related articles: Most relevant | Search more
arXiv:1002.3129 [math.AT] (Published 2010-02-16, updated 2010-02-23)
Cohomology of hyperplane complements with group ring coefficients
arXiv:1212.4420 [math.AT] (Published 2012-12-18, updated 2016-11-23)
Homotopical Intersection Theory, III: multi-relative intersection problems
arXiv:1808.06054 [math.AT] (Published 2018-08-18)
The Goresky-MacPherson formula for toric arrangements

Links

Toolbox