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arXiv · 0912.0213

On synthetic interpretation of quantum principal bundles

Tomasz Brzeziński
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Abstract

Quantum principal bundles or principal comodule algebras are re-interpreted as principal bundles within a framework of Synthetic Noncommutative Differential Geometry. More specifically, the notion of a noncommutative principal bundle within a braided monoidal category is introduced and it is shown that a noncommutative principal bundle in the category opposite to the category of vector spaces is the same as a faithfully flat Hopf-Galois extension.

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Tomasz Brzeziński. 2009-12-01. On synthetic interpretation of quantum principal bundles. https://arxiv.org/abs/0912.0213

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