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arXiv · 1512.08316

Simplicial volume of links from link diagrams

Oliver Dasbach·Anastasiia Tsvietkova
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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 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.

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Oliver Dasbach, Anastasiia Tsvietkova. 2016-06-27. Simplicial volume of links from link diagrams. https://doi.org/10.1017/s0305004117000731

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