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On the braid index of alternating links

Kunio Murasugi

Source record

Source: Crossref

Published: Jan 1, 1991

DOI: 10.1090/s0002-9947-1991-1000333-3

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Source abstract

We show that, at least for an alternating fibered link or 2 2 -bridge link L L , there is an exact formula which expresses the braid index b ( L ) {\mathbf {b}}(L) of L L as a function of the 2 2 -variable generalization P L ( l , m ) {P_L}(l,m) of the Jones polynomial.

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On the braid index of alternating links — Mathematical Frontier Network