The Noncommutative Geometry Generalization of Fundamental Group
K-Theory and Homology
2007-05-23 v1 Algebraic Topology
Abstract
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.
Cite
@article{arxiv.math/0604508,
title = {The Noncommutative Geometry Generalization of Fundamental Group},
author = {Petr R. Ivankov and Nickolay P. Ivankov},
journal= {arXiv preprint arXiv:math/0604508},
year = {2007}
}