5 citations · 9 across the 6 of their papers we have counts for
6 papers · 1 filter
Thistlethwaite Theorems for Knotoids and Linkoids
Sergei Chmutov, Qingying Deng, Joanna A. Ellis-Monaghan +2
The classical Thistlethwaite theorem for links can be phrased as asserting that the Kauffman bracket of a link can be obtained from an evaluation of the Bollobás-Riordan polynomial…
Planar Equivalence of Knotoids and Quandle Invariants
Mohamed Elhamdadi, Wout Moltmaker, Masahico Saito
While knotoids on the sphere are well-understood by a variety of invariants, knotoids on the plane have proven more subtle to classify due to their multitude over knotoids on the s…
The Mock Alexander Polynomial for Knotoids and Linkoids
Joanna A. Ellis-Monaghan, Neslihan Gügümcü, Louis H. Kauffman +1
The mock Alexander polynomial is an extension of the classical Alexander polynomial, defined and studied for (virtual) knots and knotoids by the second and third authors. In this p…
On Vassiliev Invariants of Virtual Knots
Wout Moltmaker, Louis H. Kauffman
We discuss Vassiliev invariants for virtual knots, expanding upon the theory of quantum virtual knot invariants developed in arXiv:1509.00578. In particular, following the theory o…
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…
Framed Knotoids and Their Quantum Invariants
Wout Moltmaker
We modify the definition of spherical knotoids to include a framing, in analogy to framed knots, and define a further modification that includes a secondary 'coframing' to obtain '…