Kirby elements and quantum invariants - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2003

Kirby elements and quantum invariants

Résumé

We define the notion of a Kirby element of a ribbon category C (not necessarily semisimple). Kirby elements lead to 3-manifolds invariants. We characterize (in terms of the structure maps of some categorical Hopf algebra) a set of Kirby elements of C which is sufficiently large to recover the known quantum invariants computed from C. The cases of a semisimple ribbon category and of a category of representations are explored in details.

Dates et versions

hal-00021255 , version 1 (19-03-2006)

Identifiants

Citer

Alexis Virelizier. Kirby elements and quantum invariants. 2003. ⟨hal-00021255⟩
42 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More