Bipyramid decompositions of multicrossing link complements

  • Colin Adams
  • , Gregory Kehne

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)499-518
Number of pages20
JournalCommunications in Analysis and Geometry
Volume28
Issue number3
DOIs
StatePublished - 2020

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