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 language||English (US)|
|Number of pages||7|
|Journal||Mathematical Proceedings of the Cambridge Philosophical Society|
|State||Published - Jan 1 2019|
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