43 citations · 87 across the 9 of their papers we have counts for
8 papers · 1 filter
Hennings TQFTs for Cobordisms Decorated With Cohomology Classes
Marco De Renzi, Jules Martel, Bangxin Wang
Starting from an abelian group and a factorizable ribbon Hopf -bialgebra , we construct a TQFT for connected framed cobordisms between connected surfaces with conne…
Algebraic Presentation of -Dimensional -Handlebodies and -Dimensional Cobordisms
Anna Beliakova, Ivelina Bobtcheva, Marco De Renzi +1
In this paper, we give a new direct proof of a result by Bobtcheva and Piergallini that provides finite algebraic presentations of two categories, denoted and $4\ma…
Kerler-Lyubashenko Functors on 4-Dimensional 2-Handlebodies
Anna Beliakova, Marco De Renzi
We construct a braided monoidal functor from Bobtcheva and Piergallini's category of connected 4-dimensional 2-handlebodies (up to 2-deformations) to an arbitr…
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…
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…
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…
3-Dimensional TQFTs From Non-Semisimple Modular Categories
Marco De Renzi, Azat M. Gainutdinov, Nathan Geer +2
We use modified traces to renormalize Lyubashenko's closed 3-manifold invariants coming from twist non-degenerate finite unimodular ribbon categories. Our construction produces new…
Renormalized Hennings Invariants and 2+1-TQFTs
Marco De Renzi, Nathan Geer, Bertrand Patureau-Mirand
We construct non-semisimple -TQFTs yielding mapping class group representations in Lyubashenko's spaces. In order to do this, we first generalize Beliakova, Blanchet and Geer'…