ON BRANCHED COVERINGS OF LENS SPACES
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Published:2004-06
Issue:2
Volume:47
Page:271-288
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ISSN:0013-0915
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Container-title:Proceedings of the Edinburgh Mathematical Society
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language:en
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Short-container-title:Proceedings of the Edinburgh Mathematical Society
Author:
Barbieri Elena,Spaggiari Fulvia
Abstract
AbstractWe construct some series of polyhedral schemata which represent orientable closed connected 3-manifolds. We show that these manifolds have spines corresponding to certain balanced presentations of their fundamental groups. Then we study some covering properties of such manifolds and prove that many of them are cyclic branched coverings of lens spaces. Our theorems contain a number of published results from various sources as particular cases.AMS 2000 Mathematics subject classification: Primary 57M12; 57M50; 57M60
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics
Cited by
2 articles.
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1. PALINDROME PRESENTATIONS OF RATIONAL KNOTS;Journal of Knot Theory and Its Ramifications;2009-03
2. Graphs encoding 3-manifolds of genus 2;Discrete Mathematics;2008-02