Displaying similar documents to “Hypergeometric solutions of the quantum differential equation of the cotangent bundle of a partial flag variety”

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.

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.

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.

Contact Quantization: Quantum Mechanics = Parallel transport

G. Herczeg, E. Latini, Andrew Waldron (2018)

Archivum Mathematicum

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Quantization together with quantum dynamics can be simultaneously formulated as the problem of finding an appropriate flat connection on a Hilbert bundle over a contact manifold. Contact geometry treats time, generalized positions and momenta as points on an underlying phase-spacetime and reduces classical mechanics to contact topology. Contact quantization describes quantum dynamics in terms of parallel transport for a flat connection; the ultimate goal being to also handle quantum...

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.