Bipyramid Decompositions of Multi-crossing Link Complements
Geometric Topology
2017-10-12 v2
Abstract
Generalizing previous constructions, we present a dual pair of decompositions of the complement of a link L into bipyramids, given any multi-crossing projection of L. When L is hyperbolic, this gives new upper bounds on the volume of L given its multi-crossing projection. These bounds are realized by three closely related infinite tiling weaves.
Keywords
Cite
@article{arxiv.1610.03830,
title = {Bipyramid Decompositions of Multi-crossing Link Complements},
author = {Colin Adams and Gregory Kehne},
journal= {arXiv preprint arXiv:1610.03830},
year = {2017}
}
Comments
Changed proofs of Theorem 1, 2 and 4. Added illustrations, updated bibliography