The bridge number of surface links and kei colorings

Abstract

Meier and Zupan introduced bridge trisections of surface links in $S^4$ as a 4-dimensional analogue to bridge decompositions of classical links, which gives a numerical invariant of surface links called the bridge number. We prove that there exist infinitely many surface knots with bridge number $n$ for any integer $n\ge 4$. To prove it, we use colorings of surface links by keis and give lower bounds for the bridge number of surface links.

11 pages, 2 figures, v2: typos corrected and there are some minor revisions

Cited by in corpus (2)

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