Title

Simplicial volume of links from link diagrams

Document Type

Article

Publication Date

1-1-2019

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.

Publication Source (Journal or Book title)

Mathematical Proceedings of the Cambridge Philosophical Society

First Page

75

Last Page

81

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