Grigori Avramidi

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20112026

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and torsion homology growth in nonpositive curvature

13 citations · 37 across the 17 of their papers we have counts for

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math.GT2015★ 1 cited

Ends of finite volume, nonpositively curved manifolds

Grigori Avramidi

We study complete, finite volume $n$ -manifolds $M$ of bounded nonpositive sectional curvature. A classical theorem of Gromov says that if such $M$ has negative curvature then it is…

math.GT2015★ 3 cited

Rational manifold models for duality groups

Grigori Avramidi

We show that a finite type duality group of dimension $d > 2$ is the fundamental group of a $(d + 3)$ -manifold with rationally acyclic universal cover. We use this to find closed manif…