18 citations · 87 across the 19 of their papers we have counts for
3 papers · 1 filter
Quantized representations of knot groups
Jun Murakami, Roland van der Veen
We propose a new non-commutative generalization of the representation variety and the character variety of a knot group. Our strategy is to reformulate the construction of the alge…
The Slope Conjecture for Montesinos knots
Stavros Garoufalidis, Christine Ruey Shan Lee, Roland van der Veen
The Slope Conjecture relates the degree of the colored Jones polynomial of a knot to boundary slopes of incompressible surfaces. Our aim is to prove the Slope Conjecture for Montes…
Colored Jones polynomials without tails
Christine Ruey Shan Lee, Roland van der Veen
We exhibit an infinite family of knots with the property that the first coefficient of the n-colored Jones polynomial grows linearly with n. This shows that the concept of stabilit…