Renormalizing Lyubashenko's 3-manifold topological invariants from twist non-degenerate finite unimodular ribbon categories

3-Dimensional TQFTs from Non-Semisimple Modular Categories

We use modified traces to renormalize lyubashenko s closed 3-manifold invariants coming from twist non-degenerate finite unimodular ribboncategories.Our construction produces new topological invariants which we upgrade to 2+1-tqfts under the additional assumption of factorizability.The resulting functors provide monoidal extensions of lyubashenko s mapping classgroup representations.