NON-COMMUTATIVE CONNECTIONS OF THE SECOND KIND
2008 ◽
Vol 07
(05)
◽
pp. 557-573
◽
Keyword(s):
A connection-like objects, termed 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.
Keyword(s):
2020 ◽
pp. 161-166
Keyword(s):
2013 ◽
Vol 65
(3)
◽
pp. 857-867
◽
Keyword(s):
2003 ◽
Vol 135
(1)
◽
pp. 327-353
◽
2013 ◽
Vol 29
(0)
◽
pp. 21-22
◽