Jones’ braid-plat formula and a new surgery triple. (English) Zbl 0643.57007

The first result of this paper is a formula for the Jones polynomial for links obtained from braids by a construction which generalizes both the usual braid closure and the formation of plats. This formula is used to derive a new “surgery triple” equation relating the polynomials \(V_+\), \(V_-\) and \(V_{\infty}\) of three links \(L_+\), \(L_-\) and \(L_{\infty}\).
Reviewer: J.Hillman


57M25 Knots and links in the \(3\)-sphere (MSC2010)
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