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math.DG2001★ 2 cited
Non-compact arithmetic manifolds have simple homotopy type
Tsachik Gelander
We formulate a conjecture that arithmetic locally symmetric manifolds have simple homotopy type, and prove it for the non-compact case. More precisely, we show that, for any symmet…
math.GR2001
Homotopy type and volume of locally symmetric manifolds
Tsachik Gelander
We consider locally symmetric manifolds with a fixed universal covering, and construct for each such manifold M a simplicial complex R whose size is proportional to the volume of M…