arXiv subjects

Xudong Leng

Publications and source records attributed to Xudong Leng.

2 recordsLinked to original sources

arXiv2018

The Slope Conjecture for 3-String Montesinos Knots

The (Strong) Slope Conjecture relates the degree of the colored Jones polynomial of a knot to certain essential surfaces in the knot complement. We verify the Slope Conjecture and the Strong Slope Conjecture for 3-string Montesinos knots satisfying certain conditions.

math.GT↗

arXiv2017

The Slope Conjecture for a Family of Montesinos Knots

The Slope Conjecture relates the degree of the colored Jones polynomial to the boundary slopes of a knot. We verify the Slope Conjecture and the Strong Slope Conjecture for Montesinos knots $M(\frac{1}{r},\frac{1}{s-\frac{1}{u}},\frac{1}{t} )$ with $r,u,t$ odd, $s$ even and $u\leq-1$, $r<-1<1<s,t$.

math.GT↗