26 citations · 55 across the 8 of their papers we have counts for
8 papers
Quantum Invariants of Ribbon Surfaces in -Dimensional -Handlebodies
Anna Beliakova, Marco De Renzi, Quentin Faes
We use unimodular ribbon categories to construct quantum invariants of ribbon surfaces in -dimensional -handlebodies up to -isotopy. In the process, we recover invariants…
On Integrality of Non-Semisimple Quantum Representations of Mapping Class Groups
Marco De Renzi, Jules Martel
For a root of unity of odd prime order, we restrict coefficients of non-semisimple quantum representations of mapping class groups associated with the small quantum group $\mat…
Homological Construction of Quantum Representations of Mapping Class Groups
Marco De Renzi, Jules Martel
We provide a homological model for a family of quantum representations of mapping class groups arising from non-semisimple TQFTs (Topological Quantum Field Theories). Our approach…
Refined Bobtcheva-Messia Invariants of 4-Dimensional 2-Handlebodies
Anna Beliakova, Marco De Renzi
In this paper we refine our recently constructed invariants of -dimensional -handlebodies up to -deformations. More precisely, we define invariants of pairs of the form $(…
Extended TQFTs From Non-Semisimple Modular Categories
Marco De Renzi
We construct 3-dimensional once-Extended Topological Quantum Field Theories (ETQFTs for short) out of (possibly non-semisimple) modular categories, and we explicitly identify linea…
Non-Semisimple Quantum Invariants and TQFTs from Small and Unrolled Quantum Goups
Marco De Renzi, Nathan Geer, Bertrand Patureau-Mirand
We show that unrolled quantum groups at odd roots of unity give rise to relative modular categories. These are the main building blocks for the construction of 1+1+1-TQFTs extendin…
Quantum Invariants of 3-Manifolds Arising from Non-Semisimple Categories
Marco De Renzi
This survey covers some of the results contained in the papers by Costantino, Geer and Patureau (https://arxiv.org/abs/1202.3553) and by Blanchet, Costantino, Geer and Patureau (ht…
Non-Semisimple Extended Topological Quantum Field Theories
Marco De Renzi
We develop the general theory for the construction of Extended Topological Quantum Field Theories (ETQFTs) associated with the Costantino-Geer-Patureau quantum invariants of closed…