98 citations · 717 across the 39 of their papers we have counts for
40 papers
Categorical generalisations of quantum double models
Anna-Katharina Hirmer, Catherine Meusburger
We show that every involutive Hopf monoid in a complete and finitely cocomplete symmetric monoidal category gives rise to invariants of oriented surfaces defined in terms of ribbon…
State sum models with defects based on spherical fusion categories
Catherine Meusburger
We define a Turaev-Viro-Barrett-Westbury state sum model of triangulated 3-manifolds with surface, line and point defects. Surface defects are oriented embedded 2d PL submanifolds…
Mapping class group actions from Hopf monoids and ribbon graphs
Catherine Meusburger, Thomas Voß
We show that any pivotal Hopf monoid in a symmetric monoidal category gives rise to actions of mapping class groups of oriented surfaces of genus with…
Lightlike and ideal tetrahedra
Catherine Meusburger, Carlos Scarinci
We give a unified description of tetrahedra with lightlike faces in 3d anti-de Sitter, de Sitter and Minkowski spaces and of their duals in 3d anti-de Sitter, hyperbolic and half-p…
Quantum groups and noncommutative spacetimes with cosmological constant
A. Ballesteros, I. Gutiérrez-Sagredo, F. J. Herranz +2
Noncommutative spacetimes are widely believed to model some properties of the quantum structure of spacetime at the Planck regime. In this contribution the construction of (anti-)d…
AdS Poisson homogeneous spaces and Drinfel'd doubles
Angel Ballesteros, Catherine Meusburger, Pedro Naranjo
The correspondence between Poisson homogeneous spaces over a Poisson-Lie group and Lagrangian Lie subalgebras of the classical double is revisited and explor…