Noncommutative Geometry of Quantized Coverings

@article{Ivankov2019NoncommutativeGO,
  title={Noncommutative Geometry of Quantized Coverings},
  author={Petr R. Ivankov},
  journal={arXiv: Operator Algebras},
  year={2019}
}
  • Petr R. Ivankov
  • Published 2019
  • Mathematics
  • arXiv: Operator Algebras
  • This research is devoted to the noncommutative generalization of topological coverings. Otherwise since topological coverings are related to the set of geometric constructions one can obtain noncommutative generalizations of these constructions. Here the generalizations of the universal covering space, fundamental group, covering of the Riemann manifolds, flat connections are explained. The theory gives pure algebraic proof well known results of the topology and the differential geometry… CONTINUE READING

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