论文标题

椒盐脆饼结的准积极性和辫子指数

Quasipositivity and braid index of pretzel knots

论文作者

Lewark, Lukas

论文摘要

这个简短的音符大约是三链椒盐脆饼结,其中一条链中有均匀的交叉点。我们计算这种结的辫子指数,并确定其中哪些是准阳性的。主要工具是Morton-Franks-Williams的不平等现象,以及Khovanov-Rozansky的一致性同构。

This short note is about three-stranded pretzel knots that have an even number of crossings in one of the strands. We calculate the braid index of such knots and determine which of them are quasipositive. The main tools are the Morton-Franks-Williams inequalities, and Khovanov-Rozansky concordance homomorphisms.

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