The Noncommutative Geometry Generalization of Fundamental Group

Details The Noncommutative Geometry Generalization of Fundamental Group The Noncommutative Geometry Generalization of Fundamental Group

2006-04-24

arxiv.org/abs/math/0604508v1

Mathematics

K-Theory and Homology

Scientific paper

A notion of fundamental group of spectral triples has been introduced. The
notion uses a noncommutative analogue of unramified coverings. It was shown
that in commutative case this fundamental group is a profinite completion of
fundamental group of corresponding Riemann manifold.

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