14 citations · 33 across the 9 of their papers we have counts for
12 papers
A 4-sphere with non central radius and its instanton sheaf
Lucio S. Cirio, Chiara Pagani
We build an SU(2)-Hopf bundle over a quantum toric four-sphere whose radius is non central. The construction is carried out using local methods in terms of sheaves of Hopf-Galois e…
Infinitesimal 2-braidings and differential crossed modules
Lucio S. Cirio, João Faria Martins
We categorify the notion of an infinitesimal braiding in a linear strict symmetric monoidal category, leading to the notion of a (strict) infinitesimal 2-braiding in a linear symme…
Instantons and vortices on noncommutative toric varieties
Lucio S. Cirio, Giovanni Landi, Richard J. Szabo
We elaborate on the quantization of toric varieties by combining techniques from toric geometry, isospectral deformations and noncommutative geometry in braided monoidal categories…
Connected components of compact matrix quantum groups and finiteness conditions
Lucio S. Cirio, Alessandro D'Andrea, Claudia Pinzari +1
We introduce the notion of identity component of a compact quantum group and that of total disconnectedness. As a drawback of the generalized Burnside problem, we note that totally…
Categorifying the Knizhnik-Zamolodchikov Connection via an Infinitesimal 2-Yang-Baxter Operator in the String Lie-2-Algebra
Lucio S. Cirio, João Faria Martins
We construct a flat (and fake-flat) 2-connection in the configuration space of indistinguishable particles in the complex plane, which categorifies the -Knizhnik-Zamol…
Deformation of tensor product (co)algebras via non-(co)normal twists
Lucio S. Cirio, Chiara Pagani
We study new coalgebra structures on the tensor product of two coalgebras and by twisting the tensor product coalgebra via a twist map $Ψ: C \otimes D \rightarrow D \otimes…