42 citations · 201 across the 24 of their papers we have counts for
30 papers
Lectures on Differential Topology
Riccardo Benedetti
This text arises from teaching advanced undergraduate courses in differential topology for the master curriculum in Mathematics at the University of Pisa. So it is mainly addressed…
On ideal triangulations of surfaces up to branched transit equivalences
Riccardo Benedetti
We consider triangulations of closed surfaces S with a given set of vertices V; every triangulation can be branched that is enhanced to a Delta-complex. Branched triangulations are…
Ideal triangulations of 3-manifolds up to decorated transit equivalences
Riccardo Benedetti
We consider 3-dimensional pseudo-manifolds M with a given set of marked point V such that M-V is the interior of a compact 3-manifold with boundary. An ideal triangulation T of (M,…
Framing 3-manifolds with bare hands
Riccardo Benedetti, Paolo Lisca
After surveying existing proofs that every closed, orientable 3-manifold is parallelizable, we give three proofs using minimal background. In particular, our proofs use neither spi…
On the quantum Teichmüller invariants of fibred cusped 3-manifolds
Baseilhac Stephane, Benedetti Riccardo
We show that the reduced quantum hyperbolic invariants of pseudo-Anosov diffeomorphisms of punctured surfaces are intertwiners of local representations of the quantum Teichmüller s…
Non ambiguous structures on 3-manifolds and quantum symmetry defects
Stéphane Baseilhac, Riccardo Benedetti
The state sums defining the quantum hyperbolic invariants (QHI) of hyperbolic oriented cusped -manifolds can be split in a "symmetrization" factor and a "reduced" state sum. We…