43 citations · 87 across the 9 of their papers we have counts for
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math.GT2020★ 9 cited
Modular Categories and TQFTs Beyond Semisimplicity
Christian Blanchet, Marco De Renzi
Vladimir Turaev discovered in the early years of quantum topology that the notion of modular category was an appropriate structure for building 3-dimensional Topological Quantum Fi…
math.GT2020★ 17 cited
Mapping Class Group Representations From Non-Semisimple TQFTs
Marco De Renzi, Azat M. Gainutdinov, Nathan Geer +2
In [arXiv:1912.02063], we constructed 3-dimensional Topological Quantum Field Theories (TQFTs) using not necessarily semisimple modular categories. Here, we study projective repres…
math.GT2020★ 1 cited
Non-Semisimple 3-Manifold Invariants Derived From the Kauffman Bracket
Marco De Renzi, Jun Murakami
We recover the family of non-semisimple quantum invariants of closed oriented 3-manifolds associated with the small quantum group of using purely combinatorial me…