Torsions of 3-dimensional small covers

Abstract

In this paper, it is shown that for a 3-dimensional small cover M over a polytope P, there are only 2-torsions in H ₁(M; Z). Moreover, the mod 2 Betti number growth of finite covers of M is studied.

Keywords

Mod 2 Betti number growth / Small cover / Hyperbolic manifolds

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