Removing Metric Anomalies from Ray Singer Torsion

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Ray Singer torsion is a numerical invariant associated with a compact Riemannian manifold equipped with a flat bundle and a Hermitian structure on this bundle. In this note we show how one can remove the dependence on the Riemannian metric and on the Hermitian structure with the help of a base point and of an Euler structure, in order to obtain a topological invariant. A numerical invariant for an Euler structure and additional data is also constructed.
10 pages, AMSTEX,typos corrected, thanks added

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Differential Geometry, 57Q10, 58G26

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http://salesiana.dossiersoluciones.com/handle/123456789/77110

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9807007
 http://arxiv.org/abs/math/9807007

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arXiv