Displaying similar documents to “Quantum principal bundles and their characteristic classes”

Quantum classifying spaces and universal quantum characteristic classes

Mićo Đurđević (1997)

Banach Center Publications

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A construction of the noncommutative-geometric counterparts of classical classifying spaces is presented, for general compact matrix quantum structure groups. A quantum analogue of the classical concept of the classifying map is introduced and analyzed. Interrelations with the abstract algebraic theory of quantum characteristic classes are discussed. Various non-equivalent approaches to defining universal characteristic classes are outlined.

Quantum Fibre Bundles. An Introduction

Tomasz Brzeziński (1997)

Banach Center Publications

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An approach to construction of a quantum group gauge theory based on the quantum group generalisation of fibre bundles is reviewed.

A note on coalgebra gauge theory

Tomasz Brzeziński (1997)

Banach Center Publications

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A generalisation of quantum principal bundles in which a quantum structure group is replaced by a coalgebra is proposed.

Some remarks on quantum and braided group gauge theory

Shahn Majid (1997)

Banach Center Publications

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We clarify some aspects of quantum group gauge theory and its recent generalisations (by T. Brzeziński and the author) to braided group gauge theory and coalgebra gauge theory. We outline the diagrammatic version of the braided case. The bosonisation of any braided group provides us a trivial principal bundle in three ways.

Quantum deformation of relativistic supersymmetry

Sobczyk, Jan

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From the text: The author reviews recent research on quantum deformations of the Poincaré supergroup and superalgebra. It is based on a series of papers (coauthored by P. Kosiński, J. Lukierski, P. Maślanka and A. Nowicki) and is motivated by both mathematics and physics. On the mathematical side, some new examples of noncommutative and noncocommutative Hopf superalgebras have been discovered. Moreover, it turns out that they have an interesting internal structure of graded bicrossproduct....