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 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
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