Publication: Mapping class group representations from non-semisimple TQFTs
Mapping class group representations from non-semisimple TQFTs
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De Renzi, M., Gainutdinov, A. M., Geer, N., Patureau-Mirand, B., & Runkel, I. (2023). Mapping class group representations from non-semisimple TQFTs. Communications in Contemporary Mathematics, 25(01), 2150091. https://doi.org/10.1142/S0219199721500917
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In [arXiv:1912.02063], we constructed 3-dimensional Topological Quantum Field Theories (TQFTs) using not necessarily semisimple modular categories. Here, we study projective representations of mapping class groups of surfaces defined by these TQFTs, and we express the action of a set of generators through the algebraic data of the underlying modular category C. This allows us to prove that the projective representations induced from the non-semisimple TQFTs of [arXiv:1912.02063] are equivalent to those obtained by Lyubashenko via gene
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- De Renzi, Marco
- Gainutdinov, Azat M
- Geer, Nathan
- Patureau-Mirand, Bertrand
- Runkel, Ingo
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De Renzi, M., Gainutdinov, A. M., Geer, N., Patureau-Mirand, B., & Runkel, I. (2023). Mapping class group representations from non-semisimple TQFTs. Communications in Contemporary Mathematics, 25(01), 2150091. https://doi.org/10.1142/S0219199721500917
