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.
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Acknowledgments
The authors would like to thank Zhi Lü for introducing them to the topic on small covers.
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This work was supported by the National Natural Science Foundation of China (Nos. 11371094, 11771088).
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Ma, J., Zheng, F. Torsions of 3-dimensional small covers. Chin. Ann. Math. Ser. B 38, 1311–1320 (2017). https://doi.org/10.1007/s11401-007-1039-5
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DOI: https://doi.org/10.1007/s11401-007-1039-5