4 papers · 1 filter
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…
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…
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…
On the Durdevic approach to quantum principal bundles
Antonio Del Donno, Emanuele Latini, Thomas Weber
We revisit and extend the Durdevic theory of complete calculi on quantum principal bundles. In this setting one naturally obtains a graded Hopf-Galois extension of the higher order…