On compact hyperbolic manifolds of Euler characteristic two

Published 11 Apr 2013 in math.GT | (1304.3509v2)

Abstract: We prove that for n>4 there is no compact arithmetic hyperbolic n-manifold whose Euler characteristic has absolute value equal to 2. In particular, this shows the nonexistence of arithmetically defined hyperbolic rational homology n-sphere with n even different than 4.

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Authors (1)

Vincent Emery

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