Communications in Analysis and Geometry
Volume 28 (2020)
Bipyramid decompositions of multicrossing link complements
Pages: 499 – 518
Generalizing previous constructions, we present a dual pair of decompositions of the complement of a link $L$ into bipyramids, given any multicrossing projection of $L$. When $L$ is hyperbolic, this gives new upper bounds on the volume of $L$ given its multicrossing projection. These bounds are realized by three closely related infinite tiling weaves.
Received 17 November 2016
Accepted 22 December 2017
Published 6 July 2020