Čech cocycles for quantum principal bundles

Details Čech cocycles for quantum principal bundles Čech cocycles for quantum principal bundles

2011-11-22

arxiv.org/abs/1111.5316v1

Mathematics

Quantum Algebra

Scientific paper

In other to study connections and gauge theories on noncommutative spaces it is useful to use the local trivializations of principal bundles. In this note we show how to use noncommutative localization theory to describe a simple version of cocycle data for the bundles on noncommutative schemes with Hopf algebras in the role of the structure group which locally look like Hopf algebraic smash products. We also show how to use these \v{C}ech cocycles for associated vector bundles. We sketch briefly some examples related to quantum groups.

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