The geometry of determinant line bundles in noncommutative geometry

Details The geometry of determinant line bundles in noncommutative geometry The geometry of determinant line bundles in noncommutative geometry

2008-04-21

arxiv.org/abs/0804.3232v3

J.Noncommut.Geom.3:559-578,2009

Physics

High Energy Physics

High Energy Physics - Theory

Latex2e, 17 pages, final version, to appear in J. Noncommutative Geometry

Scientific paper

10.4171/JNCG/46

This paper 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 equivalent classes of Hermitian connections on a Hermitian
finite projective module. We illustrate our results with some examples that
arise in noncommutative geometry.

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