Thus, the trivial link with n components is represented by the pair (l ,n), and the unknot is represented by (si$2 * * • s n i , n) for any n, where si, $2, • • • > sn_i are the usual generators for… Expand

On utilise trois sortes differentes de modeles de mecanique statistique pour construire des invariants de nœuds. Les modeles de sommets emergent comme les plus generaux

We introduce a notion of planar algebra, the simplest example of which is a vector space of tensors, closed under planar contractions. A planar algebra with suitable positivity properties produces a… Expand

Subfactors have been a subject of considerable research activity for about fifteen years and are known to have significant relations with other fields such as low dimensional topology and algebraic… Expand

Abstract.The Temperley-Lieb algebras are the fundamental symmetry associated to any inclusion of
${\hbox{\uppercase\expandafter {\romannumeral2}}}_1$ factors
$N \subset M$ with finite index. We… Expand

For every selfadjoint operator T in the Hilbert space H, f(T) makes sense not only in the obvious case where / is a polynomial but also if / is just measurable, and if fn(x)-+f(x) for all x£R (with… Expand

We provide an explicit and simple quantum algorithm to approximate the Jones polynomial of an n strands braid with m crossings at any primitive root of unity e2πi/k.Expand