- Full text PDF available (149)
- This year (4)
- Last 5 years (39)
- Last 10 years (85)
Journals and Conferences
This paper is an introduction to the theory of virtual knots. It is dedicated to the memory of Francois Jaeger.
IN THIS PAPERI construct a state model for the (original) Jones polynomial . (In  a state model was constructed for the Conway polynomial.) As we shall see, this model for the Jones polynomial… (More)
This paper explores the role of unitary braiding operators in quantum computing. We show that a single specific solution R (the Bell basis change matrix) of theYang–Baxter equation is a universal… (More)
This paper introduces a generalization of the Tutte polynomial  that is defined for signed graphs. A signed graph is a graph whose edges are each labelled with a sign (+l or 1). The generalized… (More)
The paper discusses teleportation in the context of comparing quantum and topological points of view.
By associating a collection of knots and links to a graph in threedimensional space, we obtain computable invariants of the embedding type of the graph. Two types of isotopy are considered:… (More)
In this paper, we give a precise and workable definition of a quantum knot system, the states of which are called quantum knots. This definition can be viewed as a blueprint for the construction of… (More)
Kuperberg  has shown that a virtual knot diagram corresponds (up to generalized Reidemeister moves) to a unique embedding in a thickened surface of minimal genus. If a virtual knot diagram is… (More)
In this paper we explore the boundary shared by biology and formal systems.