3 papers
math.QA2026
On Braided Differential Calculi and Quantum G-structures
Antonio Del Donno, Giovanni Gava, Emanuele Latini +1
We develop a theory of first order differential calculi in braided monoidal categories and classify braided covariant and bicovariant calculi on braided Hopf algebras. We show that…
math.QA2026
Noncommutative vector field calculi
Rita Fioresi, Emanuele Latini, Thomas Weber
We discuss noncommutative differential geometry from a vector field centric point of view. This is based on the notion of first order vector field calculus (FOVC), which has been p…
math.QA2025
Gauge transformations on quantum principal bundles
Antonio Del Donno, Emanuele Latini, Thomas Weber
We understand quantum principal bundle as faithfully flat Hopf--Galois extensions, with a structure Hopf algebra coacting on a total space algebra and with base algebra given by th…