Séminaire de Géométrie et Topologie

Bonded knots, the bonded braid monoid and some applications

par Sofia Lambropoulou

Europe/Paris
1R2-207

1R2-207

Description

We present the theory of bonded knots and bonded knotoids, and their algebraic counterparts, the bonded braids and bonded braidoids. We shall discuss the structure of the bonded braid monoid and its relation to the pure braid group and the singular braid monoid. Then, the topological passage from bonded knots/knotoids to bonded braids/braidoids. We will conclude with some applications to the topological modelling of proteins.