141 citations · 464 across the 35 of their papers we have counts for
4 papers · 1 filter
Solutions of the hexagon equation for abelian anyons
César Galindo, Nicolás Jaramillo Torres
We address the problem of determining the obstruction to the existence of solutions of the hexagon equation for abelian fusion rules and the classification of prime abelian anyons.
Hopf braces and Yang-Baxter operators
I. Angiono, C. Galindo, L. Vendramin
This paper introduces Hopf braces, a new algebraic structure related to the Yang-Baxter equation which include Rump's braces and their non-commutative generalizations as particular…
Coherence for monoidal -categories and braided -crossed categories
César Galindo
We prove a coherence theorem for actions of groups on monoidal categories. As an application we prove coherence for arbitrary braided -crossed categories.
Fermionic Modular Categories and the 16-fold Way
Paul Bruillard, Cesar Galindo, Tobias Hagge +4
We study spin and super-modular categories systematically as inspired by fermionic topological phases of matter, which are always fermion parity enriched and modelled by spin TQFTs…