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Torsions of 3-Dimensional Small Covers
Authors:Jiming MA and Fangting ZHENG
Institution:School of Mathematical Sciences, Fudan University, Shanghai 200433, China
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 $H_{1}(M;\mathbb{Z})$. 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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