B. Okun

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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.GT2024

Edge subdivisions and the $L^{2}$ -homology of right-angled Coxeter groups

Grigori Avramidi, Boris Okun, Kevin Schreve

If $L$ is a flag triangulation of $S^{n - 1}$ , then the Davis complex $I^£_{L}$ for the associated right-angled Coxeter group $W_{L}$ is a contractible $n$ -manifold. A special case of a c…

L^2-Betti numbers of branched covers of hyperbolic manifolds

Edge subdivisions and the L2-homology of right-angled Coxeter groups

Edge subdivisions and the $L^{2}$ -homology of right-angled Coxeter groups