Torsions of 3-dimensional small covers

Jiming Ma; Fangting Zheng

doi:10.1007/s11401-007-1039-5

Torsions of 3-dimensional small covers

Jiming Ma, Fangting Zheng^*

^*Corresponding author for this work

Fudan University

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	1311-1320
Number of pages	10
Journal	Chinese Annals of Mathematics. Series B
Volume	38
Issue number	6
DOIs	https://doi.org/10.1007/s11401-007-1039-5
Publication status	Published - 1 Nov 2017
Externally published	Yes

Keywords

Hyperbolic manifolds
Mod 2 Betti number growth
Small cover

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10.1007/s11401-007-1039-5

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title = "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 H1(M; Z). Moreover, the mod 2 Betti number growth of finite covers of M is studied.",

keywords = "Hyperbolic manifolds, Mod 2 Betti number growth, Small cover",

author = "Jiming Ma and Fangting Zheng",

note = "Publisher Copyright: {\textcopyright} 2017, Fudan University and Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2017",

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day = "1",

doi = "10.1007/s11401-007-1039-5",

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AU - Ma, Jiming

AU - Zheng, Fangting

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AB - 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.

KW - Hyperbolic manifolds

KW - Mod 2 Betti number growth

KW - Small cover

UR - https://www.scopus.com/pages/publications/85033687030

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DO - 10.1007/s11401-007-1039-5

M3 - Article

AN - SCOPUS:85033687030

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JO - Chinese Annals of Mathematics. Series B

JF - Chinese Annals of Mathematics. Series B

IS - 6

ER -

Torsions of 3-dimensional small covers

Abstract

Keywords

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