Diagrammatics for Coxeter groups and their braid groups

Abstract

We give a monoidal presentation of Coxeter and braid 2-groups, in terms of decorated planar graphs. This presentation extends the Coxeter presentation. We deduce a simple criterion for a Coxeter group or braid group to act on a category.

Many figures, best viewed in color. Minor updates. This version agrees with the published version

Cited by in corpus (2)

• Soergel calculus and Schubert calculus
• Diagrammatic Calculus of Coxeter and Braid Groups