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PRESCRIBED VIRTUAL HOMOLOGICAL TORSION OF 3-MANIFOLDS

Published online by Cambridge University Press:  08 June 2022

Michelle Chu Open the ORCID record for Michelle Chu [Opens in a new window]  and
Daniel Groves
Michelle Chu*
Affiliation:
Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, 322 Science and Engineering Offices (M/C 249), 851 S. Morgan St., Chicago, IL 60607-7045 (groves@math.uic.edu)
Daniel Groves
Affiliation:
Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, 322 Science and Engineering Offices (M/C 249), 851 S. Morgan St., Chicago, IL 60607-7045 (groves@math.uic.edu)
*
michu@uic.edu
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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 $M' \to M$ so that A is a direct factor in $H_1(M',{\mathbb Z})$.

Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 22 , Issue 6 , November 2023 , pp. 2931 - 2941
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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