Adelaide Research & Scholarship
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https://hdl.handle.net/2440/56230
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| Type: | Journal article |
| Title: | The geometry of determinant line bundles in noncommutative geometry |
| Author: | Chakraborty, P. Varghese, M. |
| Citation: | Journal of Noncommutative Geometry, 2009; 3(4):559-578 |
| Publisher: | European Mathematical Society Publishing House |
| Issue Date: | 2009 |
| ISSN: | 1661-6952 1661-6960 |
| Statement of Responsibility: | Partha Sarathi Chakraborty and Varghese Mathai |
| Abstract: | 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 |
| DOI: | 10.4171/JNCG/46 |
| Published version: | http://dx.doi.org/10.4171/jncg/46 |
| Appears in Collections: | Aurora harvest 5 Mathematical Sciences publications |
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