Journal of Noncommutative Geometry
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Published online: 2009-12-23
The geometry of determinant line bundles in noncommutative geometryPartha Sarathi Chakraborty and Varghese Mathai (1) University of Adelaide, Australia
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.
Keywords: Regularity, spectral triples, determinant line bundles, index theorem for families, connections, gauge transformations, dimension spectrum
Chakraborty Partha Sarathi, Mathai Varghese: The geometry of determinant line bundles in noncommutative geometry. J. Noncommut. Geom. 3 (2009), 559-578. doi: 10.4171/JNCG/46