We construct noncommutative principal bundles deforming principal bundles with a Drinfeld
twist (2-cocycle). If the twist is associated with the structure group then we have a …

We propose a sheaf-theoretic approach to the theory of differential calculi on quantum
principal bundles over non-affine bases. After recalling the affine case we define differential …

The purpose of this paper is to propose a sheaf theoretic approach to the theory of quantum
principal bundles over non affine bases. We study noncommutative principal bundles …

In this paper we develop the theory of reduction of quantum principal bundles over
projective bases. We show how the sheaf theoretic approach can be effectively applied to …

Principal comodule algebras can be thought of as objects representing principal bundles in
non-commutative geometry. A crucial component of a principal comodule algebra is a strong …