16 papers · 1 filter
Quantum Gauge Transformations and Braided Structure on Quantum Principal Bundles
Mico Durdevic
It is shown that every quantum principal bundle is braided, in the sense that there exists an intrinsic braid operator twisting the functions on the bundle. A detailed algebraic an…
Quantum Classifying Spaces and Universal Quantum Characteristic Classes
Mico Durdevic
A construction of the noncommutative-geometric counterparts of classical classifying spaces is presented, for general compact matrix quantum structure groups. A quantum analogue of…
Quantum Principal Bundles and Their Characteristic Classes
Mico Durdevic
A brief exposition of the general theory of characteristic classes of quantum principal bundles is given. The theory of quantum characteristic classes incorporates ideas of classic…
General Frame Structures On Quantum Principal Bundles
Mico Durdevic
A noncommutative-geometric generalization of the classical formalism of frame bundles is developed, incorporating into the theory of quantum principal bundles the concept of the Le…
First-Order Differential Calculi Over Multi-Braided Quantum Groups
Mico Durdevic
A differential calculus of the first order over multi-braided quantum groups is developed. In analogy with the standard theory, left/right-covariant and bicovariant differential st…
Quantum Principal Bundles as Hopf-Galois Extensions
Mico Durdevic
It is shown that every quantum principal bundle with a compact structure group is a Hopf-Galois extension. This property naturally extends to the level of general differential stru…