Bipyramid Decompositions of Multi-crossing Link Complements

Colin Adams; Gregory Kehne

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arXiv · 1610.03830

Bipyramid Decompositions of Multi-crossing Link Complements

Colin Adams·Gregory Kehne

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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.

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Colin Adams, Gregory Kehne. 2016-10-12. Bipyramid Decompositions of Multi-crossing Link Complements. https://arxiv.org/abs/1610.03830

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