- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:12
Journal of Noncommutative Geometry
J. Noncommut. Geom.
JNCG
1661-6952
1661-6960
Global analysis, analysis on manifolds
General
10.4171/JNCG
http://www.ems-ph.org/doi/10.4171/JNCG
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
3
2009
4
The geometry of determinant line bundles in noncommutative geometry
Partha Sarathi
Chakraborty
The Institute of Mathematical Sciences, CHENNAI, INDIA
Varghese
Mathai
University of Adelaide, ADELAIDE SA, AUSTRALIA
Regularity, spectral triples, determinant line bundles, index theorem for families, connections, gauge transformations, dimension spectrum
This article is concerned with the study of the geometry of determinant line bundles associated to families of spectral triples parametrized by the moduli space of gauge equivalence classes of Hermitian connections on a Hermitian finite projective module. We illustrate our results with some examples that arise in noncommutative geometry.
Global analysis, analysis on manifolds
General
559
578
10.4171/JNCG/46
http://www.ems-ph.org/doi/10.4171/JNCG/46