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.
Cite this article
Partha Sarathi Chakraborty, Varghese Mathai, The geometry of determinant line bundles in noncommutative geometry. J. Noncommut. Geom. 3 (2009), no. 4, pp. 559–578DOI 10.4171/JNCG/46