• Corpus ID: 115167645

On synthetic interpretation of quantum principal bundles

  title={On synthetic interpretation of quantum principal bundles},
  author={Tomasz Brzezi'nski},
  journal={arXiv: Quantum Algebra},
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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