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
Recommended Citation
Dasbach, O., & Tsvietkova, A. (2019). Simplicial volume of links from link diagrams. Mathematical Proceedings of the Cambridge Philosophical Society, 166 (1), 75-81. https://doi.org/10.1017/S0305004117000731
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