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A menagerie of SU(2)-cyclic 3-manifolds
File | Description | Size | Format | |
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menagerie.pdf | Accepted version | 450.44 kB | Adobe PDF | View/Open |
Title: | A menagerie of SU(2)-cyclic 3-manifolds |
Authors: | Sivek, S Zentner, R |
Item Type: | Journal Article |
Abstract: | We classify SU(2)-cyclic and SU(2)-abelian 3-manifolds, for which every representation of the fundamental group into SU(2) has cyclic or abelian image, respectively, among geometric 3-manifolds that are not hyperbolic. As an application, we give examples of hyperbolic 3-manifolds that do not admit degree-1 maps to any Seifert Fibered manifold other than S3 or a lens space. We also produce infinitely many one-cusped hyperbolic manifolds with at least four SU(2)-cyclic Dehn fillings, one more than the number of cyclic fillings allowed by the cyclic surgery theorem. |
Issue Date: | 1-Jun-2022 |
Date of Acceptance: | 28-Oct-2020 |
URI: | http://hdl.handle.net/10044/1/87463 |
DOI: | 10.1093/imrn/rnaa330 |
ISSN: | 1073-7928 |
Publisher: | Oxford University Press |
Start Page: | 8038 |
End Page: | 8085 |
Journal / Book Title: | International Mathematics Research Notices |
Volume: | 2022 |
Issue: | 11 |
Copyright Statement: | © The Author(s) 2021. Published by Oxford University Press. All rights reserved. This is a pre-copy-editing, author-produced version of an article accepted for publication in International Mathematics Research Notices following peer review. The definitive publisher-authenticated version is available online at: https://academic.oup.com/imrn/advance-article/doi/10.1093/imrn/rnaa330/6071861 |
Keywords: | math.GT math.GT General Mathematics 0101 Pure Mathematics |
Publication Status: | Published |
Online Publication Date: | 2021-01-09 |
Appears in Collections: | Pure Mathematics Faculty of Natural Sciences Mathematics |