14 citations · 33 across the 9 of their papers we have counts for
4 papers · 1 filter
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…
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…
Algebraic deformations of toric varieties II. Noncommutative instantons
Lucio Cirio, Giovanni Landi, Richard J. Szabo
We continue our study of the noncommutative algebraic and differential geometry of a particular class of deformations of toric varieties, focusing on aspects pertinent to the const…
Categorifying the Knizhnik-Zamolodchikov Connection
Lucio S. Cirio, João Faria Martins
In the context of higher gauge theory, we construct a flat and fake flat 2-connection, in the configuration space of particles in the complex plane, categorifying the Knizhnik-…