Chakraborty, Partha Sarathi ; Mathai, Varghese (2009) The geometry of determinant line bundles in noncommutative geometry Journal of Noncommutative Geometry, 3 (4). pp. 559-578. ISSN 1661-6952
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Official URL: http://www.ems-ph.org/journals/show_abstract.php?i...
Related URL: http://dx.doi.org/10.4171/JNCG/46
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.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to European Mathematical Society Publishing House. |
| Keywords: | Regularity; Spectral Triples; Determinant Line Bundles; Index Theorem for Families; Connections; Gauge Transformations; Dimension Spectrum |
| ID Code: | 112444 |
| Deposited On: | 05 Jun 2018 06:27 |
| Last Modified: | 05 Jun 2018 06:27 |
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