Simplicial volume of links from link diagrams

Oliver Dasbach, Anastasiia Tsvietkova

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

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 generalise this to the simplicial volume of link complements by analysing 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.

Original languageEnglish (US)
Pages (from-to)75-81
Number of pages7
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume166
Issue number1
DOIs
StatePublished - Jan 1 2019
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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