Quantum groups and knot invariants

Christian Kassel (1) , Marc Rosso (2) , Vladimir Turaev (1)

1 IRMA - Institut de Recherche Mathématique Avancée
2 DMA - Département de Mathématiques et Applications - ENS Paris

This book provides a concise introduction to quantum groups, braided monoidal categories, and quantum invariants of knots and of three-dimensional manifolds. The exposition emphasizes the newly discovered deep relationships between these areas.

Mots clés: quantum group; knot invariant

Domaines: Algèbres quantiques [math.QA]

Christian Kassel, Marc Rosso, Vladimir Turaev. Quantum groups and knot invariants. Société Mathématique de France, 115 p. + vi, 1997, Coll. Panoramas et Synthèses, vol. 5. ⟨hal-00124690⟩