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 …

In [M. De Renzi, A. Gainutdinov, N. Geer, B. Patureau-Mirand and I. Runkel, 3-dimensional
TQFTs from non-semisimple modular categories, preprint (2019), arXiv: 1912.02063 [math …

We use quantum invariants to define an analytic family of representations for the mapping
class group Mod (Σ) of a punctured surface Σ. The representations depend on a complex …

We prove that either the images of the mapping class groups by quantum representations
are not isomorphic to higher rank lattices or else the kernels have a large number of normal …

Topological Quantum Field Theories (TQFT'S) in dimension 2+ 1 are closely related to
representations of mapping class groups of surfaces. This chapter presents some remarks …

We show that any twisted Dijkgraaf–Witten representation of a mapping class group of an
orientable, compact surface with boundary has finite image. This generalizes work of Etingof …

Quantum invariants of 3-manifolds and the associated 'Topological Quantum Field
Theories'(TQFT) give rise to interesting finite-dimensional representations of mapping class …

Fix a finite group G and a conjugacy invariant subset C⊆ G. Let Σ be an oriented surface,
possibly with punctures. We consider the question of when two homomorphisms π1 (Σ)→ G …

For each oriented surface Σ of genus g, we study a limit of quantum representations of the
mapping class group arising in topological quantum field theory (TQFT) derived from the …

We prove that level $5 $ Witten-Reshetikhin-Turaev $\mathrm {SO}(3) $ quantum
representations, also known as the Fibonacci representations, of mapping class groups are …