  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.

Quantum Algebra