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Flowers of knots

Kouki Taniyama ⟨taniyama@waseda.jp⟩

Abstract:

An (n,k)-flower F(n,k) is the shadow of the closure of an n-braid (σ1σ2σn1)k.
C. Lamm and V. O. Manturov independently showed the following: Let K be a knot and nbraid(K). Then K has F(n,k) as its shadow for some k. We show the following: Let K be a knot and kbridge(K). Then K has F(n,k) as its shadow for some n. As a corollary, we show bridge(K)=lr(K) where lr(K) is the left-right number of K. This gives us a new definition of the bridge number of a knot.

Scheduled for: 2025-08-13 08:30 AM: Graphs Session Talk #4.1 in HUMB 146

Icon: video Webinar

Status: Accepted

Collection: Topological Graph Theory

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