18 citations · 87 across the 19 of their papers we have counts for
23 papers
Visual Evidence Under Cross-Examination: Evaluating and Controlling Decision-Level Evidence Use in Vision-Language Models
Huiyao Zhang, Jin Bai, Zilong Su +6
Vision-language models increasingly reason through crops, regions, and tool-produced observations. Yet an observation can influence the answer without benefiting the candidate it s…
Top coefficients of ADO invariants are Murasugi-sum multiplicative
Daniel López Neumann, Roland van der Veen
The Akutsu-Deguchi-Ohtsuki (ADO) invariants of links are a non-semisimple version of the colored Jones polynomials. We prove that the top coefficients of the ADO invariants of link…
A Fast, Strong, Topologically Meaningful and Fun Knot Invariant
Dror Bar-Natan, Roland van der Veen
In this paper we discuss a pair of polynomial knot invariants which is: * Theoretically and practically fast: can be computed in polynomial time. We can compute it in…
Non-semisimple quantum invariants of fibred links
Daniel López Neumann, Roland van der Veen
The Akutsu-Deguchi-Ohtsuki (ADO) invariants are the most studied quantum link invariants coming from a non-semisimple tensor category. We show that, for fibered links in , the…
Quantum fundamental group of knot and its representation
Jun Murakami, Roland van der Veen
The theory of bottom tangles is used to construct a quantum fundamental group. On the other hand, the skein module is considered as a quantum analogue of the representation…
Genus bounds from unrolled quantum groups at roots of unity
Daniel López Neumann, Roland van der Veen
For any simple complex Lie algebra , we show that the degrees of the "ADO" link polynomials coming from the unrolled restricted quantum group $\overline{U}^H_q(\mathf…
New Quantum Invariants of Planar Knotoids
Wout Moltmaker, Roland van der Veen
In this paper we discuss the applications of knotoids to modelling knots in open curves and produce new knotoid invariants. We show how invariants of knotoids generally give rise t…
A Perturbed-Alexander Invariant
Dror Bar-Natan, Roland van der Veen
In this note we give concise formulas, which lead to a simple and fast computer program that computes a powerful knot invariant. This invariant is not new, yet our formulas a…
Perturbed Gaussian generating functions for universal knot invariants
Dror Bar-Natan, Roland van der Veen
We introduce a new approach to universal quantum knot invariants that emphasizes generating functions instead of generators and relations. All the relevant generating functions are…
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…
A polynomial time knot polynomial
Dror Bar-Natan, Roland van der Veen
We present the strongest known knot invariant that can be computed effectively (in polynomial time).
Knotted optical vortices in exact solutions to Maxwell's equations
Albertus Johannes Jacobus Maria de Klerk, Roland Ivo van der Veen, Jan Willem Dalhuisen +1
We construct a family of exact solutions to Maxwell's equations in which the points of zero intensity form knotted lines topologically equivalent to a given but arbitrary algebraic…
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…
A generating series for Murakami-Ohtsuki-Yamada graph evaluations
Stavros Garoufalidis, Roland van der Veen
Murakami-Ohtsuki-Yamada introduced an evaluation of certain oriented planar trivalent graphs with colored edges. This evaluation plays a key role in the evaluation of the colored H…
A slope conjecture for links
Roland van der Veen
The slope conjecture gives a precise relation between the degree of the colored Jones polynomial of a knot and the boundary slopes of essential surfaces in the knot complement. In…
Asymptotics of quantum spin networks at a fixed root of unity
Stavros Garoufalidis, Roland van der Veen
A classical spin network consists of a ribbon graph (i.e., an abstract graph with a cyclic ordering of the vertices around each edge) and an admissible coloring of its edges by nat…
Asymptotics of classical spin networks
Stavros Garoufalidis, Roland van der Veen, with an appendix by Don Zagier
A spin network is a cubic ribbon graph labeled by representations of . Spin networks are important in various areas of Mathematics (3-dimensional Quantum Topology),…
The volume conjecture for augmented knotted trivalent graphs
Roland van der Veen
We propose to generalize the volume conjecture to knotted trivalent graphs and we prove the conjecture for all augmented knotted trivalent graphs. As a corollary we find that for a…