The geometry of determinant line bundles in noncommutative geometry
High Energy Physics - Theory
2011-04-11 v3 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.0804.3232,
title = {The geometry of determinant line bundles in noncommutative geometry},
author = {Partha Sarathi Chakraborty and Varghese Mathai},
journal= {arXiv preprint arXiv:0804.3232},
year = {2011}
}
Comments
Latex2e, 17 pages, final version, to appear in J. Noncommutative Geometry