We prove that the Kauffman bracket skein algebra of the cylinder over a torus is a canonical subalgebra of the noncommutative torus. The proof is based on Chebyshev polynomials. As an application, we… (More)

The lecture will develop the Kauffman bracket skein algebra of a surface as a tool for interpolating between representation theoretic data and quantum invariants of three manifolds. The Kauffman… (More)

The paper introduces a noncommutative generalization of the Apolynomial of a knot. This is done using the Kauffman bracket skein module of the knot complement, and is based on the relationship… (More)

Theorem 1.1 was conjectured by Frohman [10] who proved it in the case that the surfaces are triply-periodic. Earlier Meeks [19] proved the theorem in the case of finite genus. In this case the only… (More)

A fundamental problem in the classical theory of minimal surfaces is to describe the asymptotic geometry of properly embedded minimal surfaces in . In the special case that the surface has finite… (More)

We construct lattice gauge field theory based on a quantum group on a lattice of dimension 1. Innovations include a coalgebra structure on the connections, and an investigation of connections that… (More)

Many methods are to be found in the literature for the determination of several of the individual acids of the “citric acid cycle;” however, to date no method has been available for the simultaneous… (More)