Chromatic maps for finite tensor categories - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2023

Chromatic maps for finite tensor categories

Résumé

Chromatic maps for spherical tensor categories are instrumental tools to construct (non semisimple) invariants of 3-manifolds and their extension to (non compact) (2+1)-TQFTs. In this paper, we introduce left and right chromatic maps for finite tensor categories and prove that such maps always exist. As a corollary, we obtain that any spherical finite tensor category has a chromatic map.

Dates et versions

hal-04106253 , version 1 (25-05-2023)

Identifiants

Citer

Francesco Costantino, Nathan Geer, Bertrand Patureau-Mirand, Alexis Virelizier. Chromatic maps for finite tensor categories. 2023. ⟨hal-04106253⟩
35 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More