18 citations · 87 across the 19 of their papers we have counts for
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The degree of the colored HOMFLY polynomial
Roland van der Veen
The colored HOMLFY polynomial is an important knot invariant depending on two variables and . We give bounds on the degree in both and generalizing Morton's bounds \…
Quadratic integer programming and the slope conjecture
Stavros Garoufalidis, Roland van der Veen
The Slope Conjecture relates a quantum knot invariant, (the degree of the colored Jones polynomial of a knot) with a classical one (boundary slopes of incompressible surfaces in th…
A Spectral Perspective on Neumann-Zagier
Tudor Dimofte, Roland van der Veen
We provide a new topological interpretation of the symplectic properties of gluing equations for triangulations of hyperbolic 3-manifolds, first discovered by Neumann and Zagier. W…
On the volume conjecture for polyhedra
Francesco Costantino, François Guéritaud, Roland van der Veen
We formulate a generalization of the volume conjecture for planar graphs. Denoting by <G, c> the Kauffman bracket of the graph G whose edges are decorated by real "colors" c, the c…