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| Torsions of 3-Dimensional Small Covers |
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Citation： |
Jiming MA,Fangting ZHENG.Torsions of 3-Dimensional Small Covers[J].Chinese Annals of Mathematics B,2017,38(6):1311~1320 |
| Page view： 1169
Net amount： 1594 |
Authors： |
Jiming MA; Fangting ZHENG |
Foundation： |
This work was supported by
the National Natural Science Foundation of China (Nos.11371094,
& 11771088). |
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| 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 |
Classification： |
57M10, 20F55, 51M10 |
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