activity
19982005
most citedOn the Dynamics of G-Solenoids. Applications to Delone Sets

42 citations · 74 across the 6 of their papers we have counts for

collaborators

10 papers

math.DG200510 cited

Canonical Wick rotations in 3-dimensional gravity

Riccardo Benedetti, Francesco Bonsante

We develop a ``canonical Wick rotation-rescaling theory in 3-dimensional gravity''. This includes: (a) A simultaneous classification that shows how generic maximal globally hyperbo…

math.DG20046 cited

Wick rotations in 3D gravity: ML(H2)-spacetimes

Riccardo Benedetti, Francesco Bonsante

"Ends of hyperbolic 3-manifolds should support canonical Wick Rotations, so they realize effective interactions of their ending globally hyperbolic spacetimes of constant curvature…

math.GT20048 cited

Problems on invariants of knots and 3-manifolds

J. E. Andersen, N. Askitas, D. Bar-Natan +57

This is a list of open problems on invariants of knots and 3-manifolds with expositions of their history, background, significance, or importance. This list was made by editing ope…

math.GT20024 cited

QHI Theory, II: Dilogarithmic and Quantum Hyperbolic Invariants of 3-Manifolds with PSL(2,C)-Characters

Stephane Baseilhac, Riccardo Benedetti

We give parallel constructions of an invariant R(W,f), based on the classical Rogers dilogarithm, and of quantum hyperbolic invariants (QHI), based on the Faddeev-Kashaev quantum d…

math.GT20024 cited

QHI, 3-manifolds scissors congruence classes and the volume conjecture

Stephane Baseilhac, Riccardo Benedetti

This is a survey of our work on Quantum Hyperbolic Invariants (QHI) of 3-manifolds. We explain how the theory of scissors congruence classes is a powerful geometric framework for Q…

math.DS200242 cited

On the Dynamics of G-Solenoids. Applications to Delone Sets

Riccardo Benedetti, Jean-Marc Gambaudo

A G-solenoid is a laminated space whose leaves are copies of a single Lie group G, and whose transversals are totally disconnected sets. It inherits a G-action and can be considere…