2 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.GT2017
Incompressible fillings of manifolds
Grigori Avramidi
We find boundaries of Borel-Serre compactifications of locally symmetric spaces, for which any filling is incompressible. We prove this result by showing that these boundaries have…