PRESCRIBED VIRTUAL HOMOLOGICAL TORSION OF 3-MANIFOLDS

Michelle Chu; Daniel Groves

doi:10.1017/S1474748022000329

PRESCRIBED VIRTUAL HOMOLOGICAL TORSION OF 3-MANIFOLDS

Michelle Chu
, Daniel Groves

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

Abstract

Let M be an irreducible 3-manifold M with empty or toroidal boundary which has at least one hyperbolic piece in its geometric decomposition, and let A be a finite abelian group. Generalizing work of Sun [20] and of Friedl-Herrmann [7], we prove that there exists a finite cover M' → M so that A is a direct factor in H₁(M',Z).

Original language	English (US)
Pages (from-to)	2931-2941
Number of pages	11
Journal	Journal of the Institute of Mathematics of Jussieu
Volume	22
Issue number	6
DOIs	https://doi.org/10.1017/S1474748022000329
State	Published - Nov 8 2023
Externally published	Yes

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© The Author(s), 2022. Published by Cambridge University Press.

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10.1017/S1474748022000329

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abstract = "Let M be an irreducible 3-manifold M with empty or toroidal boundary which has at least one hyperbolic piece in its geometric decomposition, and let A be a finite abelian group. Generalizing work of Sun [20] and of Friedl-Herrmann [7], we prove that there exists a finite cover M' → M so that A is a direct factor in H1(M',Z).",

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N2 - Let M be an irreducible 3-manifold M with empty or toroidal boundary which has at least one hyperbolic piece in its geometric decomposition, and let A be a finite abelian group. Generalizing work of Sun [20] and of Friedl-Herrmann [7], we prove that there exists a finite cover M' → M so that A is a direct factor in H1(M',Z).

AB - Let M be an irreducible 3-manifold M with empty or toroidal boundary which has at least one hyperbolic piece in its geometric decomposition, and let A be a finite abelian group. Generalizing work of Sun [20] and of Friedl-Herrmann [7], we prove that there exists a finite cover M' → M so that A is a direct factor in H1(M',Z).

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PRESCRIBED VIRTUAL HOMOLOGICAL TORSION OF 3-MANIFOLDS

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