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- W2953023622 abstract "It is known that the minimal degree of the Jones polynomial of a positive knot is equal to its genus, and the minimal coefficient is 1. We extend this result to almost positive links and partly identify the 3 following coefficients for special types of positive links. We also give counterexamples to the Jones polynomial-ribbon genus conjectures for a quasipositive knot. Then we show that the Alexander polynomial completely detects the minimal genus and fiber property of canonical Seifert surfaces associated to almost positive (and almost alternating) link diagrams." @default.
- W2953023622 created "2019-06-27" @default.
- W2953023622 creator A5075799698 @default.
- W2953023622 date "2002-02-22" @default.
- W2953023622 modified "2023-09-27" @default.
- W2953023622 title "On polynomials and surfaces of variously positive links" @default.
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