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Bibliographic Details
Main Authors: Costantino, Francesco, Geer, Nathan, Patureau-Mirand, Bertrand, Virelizier, Alexis
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2305.14626
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Table of Contents:
  • 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.