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Chinese Annals of Mathematics, Series B

, Volume 38, Issue 6, pp 1311–1320 | Cite as

Torsions of 3-dimensional small covers

  • Jiming Ma
  • Fangting Zheng
Article

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 H1(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 

2000 MR Subject Classification

57M10 20F55 51M10 

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Notes

Acknowledgments

The authors would like to thank Zhi Lü for introducing them to the topic on small covers.

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Copyright information

© Fudan University and Springer-Verlag GmbH Germany, part of Springer Nature 2017

Authors and Affiliations

  1. 1.School of Mathematical SciencesFudan UniversityShanghaiChina

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