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arXiv · 2305.14626

Chromatic maps for finite tensor categories

Francesco Costantino·Nathan Geer·Bertrand Patureau-Mirand·Alexis Virelizier
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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.

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BibTeXRIS

Francesco Costantino, Nathan Geer, Bertrand Patureau-Mirand, Alexis Virelizier. 2023-05-24. Chromatic maps for finite tensor categories. https://arxiv.org/abs/2305.14626

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