Add to ORKGWe use modified traces to renormalize Lyubashenko's closed 3-manifold invariants coming from twist non-degenerate finite unimodular ribbon categories. 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 class group representations, as discussed in arXiv:2010.14852. This general framework encompasses important examples of non-semisimple modular categories coming from the representation theory of quasi-Hopf algebras, which were left out of previous non-semisimple TQFT constructions.Comment: 49 pages; v3: added pictures and reference
International audienceWe extend Lyubashenko's non-semisimple modular functors to $2+1$-TQFTs. In ord...
International audienceWe extend Lyubashenko's non-semisimple modular functors to $2+1$-TQFTs. In ord...
34 pagesIn [arXiv:1912.02063], we constructed 3-dimensional Topological Quantum Field Theories (TQFT...
International audienceWe use modified traces to renormalize Lyubashenko’s closed 3-manifold invarian...
International audienceWe use modified traces to renormalize Lyubashenko’s closed 3-manifold invarian...
International audienceWe use modified traces to renormalize Lyubashenko’s closed 3-manifold invarian...
International audienceWe use modified traces to renormalize Lyubashenko’s closed 3-manifold invarian...
International audienceWe use modified traces to renormalize Lyubashenko’s closed 3-manifold invarian...
In [arXiv:1912.02063], we constructed 3-dimensional Topological Quantum Field Theories (TQFTs) using...
A 3-dimensional topological quantum field theory (TQFT) is a symmetric monoidal functor from the cat...
Vladimir Turaev discovered in the early years of quantum topology that the notion of modular categor...
Vladimir Turaev discovered in the early years of quantum topology that the notion of modular categor...
Vladimir Turaev discovered in the early years of quantum topology that the notion of modular categor...
Vladimir Turaev discovered in the early years of quantum topology that the notion of modular categor...
International audienceWe extend Lyubashenko's non-semisimple modular functors to $2+1$-TQFTs. In ord...
International audienceWe extend Lyubashenko's non-semisimple modular functors to $2+1$-TQFTs. In ord...
International audienceWe extend Lyubashenko's non-semisimple modular functors to $2+1$-TQFTs. In ord...
34 pagesIn [arXiv:1912.02063], we constructed 3-dimensional Topological Quantum Field Theories (TQFT...
International audienceWe use modified traces to renormalize Lyubashenko’s closed 3-manifold invarian...
International audienceWe use modified traces to renormalize Lyubashenko’s closed 3-manifold invarian...
International audienceWe use modified traces to renormalize Lyubashenko’s closed 3-manifold invarian...
International audienceWe use modified traces to renormalize Lyubashenko’s closed 3-manifold invarian...
International audienceWe use modified traces to renormalize Lyubashenko’s closed 3-manifold invarian...
In [arXiv:1912.02063], we constructed 3-dimensional Topological Quantum Field Theories (TQFTs) using...
A 3-dimensional topological quantum field theory (TQFT) is a symmetric monoidal functor from the cat...
Vladimir Turaev discovered in the early years of quantum topology that the notion of modular categor...
Vladimir Turaev discovered in the early years of quantum topology that the notion of modular categor...
Vladimir Turaev discovered in the early years of quantum topology that the notion of modular categor...
Vladimir Turaev discovered in the early years of quantum topology that the notion of modular categor...
International audienceWe extend Lyubashenko's non-semisimple modular functors to $2+1$-TQFTs. In ord...
International audienceWe extend Lyubashenko's non-semisimple modular functors to $2+1$-TQFTs. In ord...
International audienceWe extend Lyubashenko's non-semisimple modular functors to $2+1$-TQFTs. In ord...
34 pagesIn [arXiv:1912.02063], we constructed 3-dimensional Topological Quantum Field Theories (TQFT...