Chromatic maps for finite tensor categories
Quantum Algebra
2024-04-18 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2305.14626,
title = {Chromatic maps for finite tensor categories},
author = {Francesco Costantino and Nathan Geer and Bertrand Patureau-Mirand and Alexis Virelizier},
journal= {arXiv preprint arXiv:2305.14626},
year = {2024}
}
Comments
14 pages. arXiv admin note: substantial text overlap with arXiv:2302.04509