Non-commutative connections of the second kind

Details Non-commutative connections of the second kind Non-commutative connections of the second kind

2008-02-04

arxiv.org/abs/0802.0445v1

Mathematics

Quantum Algebra

13 pages, LaTeX

Scientific paper

A connection-like objects, termed {\em hom-connections} are defined in the realm of non-commutative geometry. The definition is based on the use of homomorphisms rather than tensor products. It is shown that hom-connections arise naturally from (strong) connections in non-commutative principal bundles. The induction procedure of hom-connections via a map of differential graded algebras or a differentiable bimodule is described. The curvature for a hom-connection is defined, and it is shown that flat hom-connections give rise to a chain complex.

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