Simplicial volume of links from link diagrams

The hyperbolic volume of a link complement is known to be unchanged when a half-twist is added to a link diagram, and a suitable 3-punctured sphere is present in the complement. We generalize this to the simplicial volume of link complements by analyzing the corresponding toroidal decompositions. We...

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Bibliographic Details
Published in:arXiv.org 2016-06
Main Authors: Dasbach, Oliver, Tsvietkova, Anastasiia
Format: Article
Language:English
Subjects:
Upper bounds
Online Access:Get full text
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Summary:The hyperbolic volume of a link complement is known to be unchanged when a half-twist is added to a link diagram, and a suitable 3-punctured sphere is present in the complement. We generalize this to the simplicial volume of link complements by analyzing the corresponding toroidal decompositions. We then use it to prove a refined upper bound for the volume in terms of twists of various lengths for links.
ISSN:2331-8422
DOI:10.48550/arxiv.1512.08316