Journal
JOURNAL OF GEOMETRY AND PHYSICS
Volume 73, Issue -, Pages 37-55Publisher
ELSEVIER
DOI: 10.1016/j.geomphys.2013.04.011
Keywords
Pseudo-Riemannian manifold; Spectral triple; K-homology; Harmonic oscillator
Categories
Funding
- Australian Research Council
Ask authors/readers for more resources
We define pseudo-Riemannian spectral triples, an analytic context broad enough to encompass a spectral description of a wide class of pseudo-Riemannian manifolds, as well as their noncommutative generalisations. Our main theorem shows that to each pseudo-Riemannian spectral triple we can associate a genuine spectral triple, and so a K-homology class. With some additional assumptions we can then apply the local index theorem. We give a range of examples and some applications. The example of the harmonic oscillator in particular shows that our main theorem applies to much more than just classical pseudo-Riemannian manifolds. (C) 2013 Elsevier B.V. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available