3 papers
math.GT2024
L^2-Betti numbers of branched covers of hyperbolic manifolds
Grigori Avramidi, Boris Okun, Kevin Schreve
We show that Gromov-Thurston branched covers satisfy the Singer conjecture whenever the degree of the cover is not divisible by a finite set of primes determined by the base manifo…
math.GT2023
Coarse cohomology of the complement
Arka Banerjee, Boris Okun
In this paper we define the coarse (co)homology of the complement of a subspace in a metric space, generalizing the coarse (co)homology of Roe. We give a model space which encodes…
math.AT2010
Cohomology of hyperplane complements with group ring coefficients
Michael W Davis, Tadeusz Januszkiewicz, Ian J Leary +1
We compute the cohomology with group ring coefficients of the complement of a finite collection of affine hyperplanes in a finite dimensional complex vector space. It is nonzero in…