Removing Metric Anomalies from Ray Singer Torsion

Details Removing Metric Anomalies from Ray Singer Torsion Removing Metric Anomalies from Ray Singer Torsion

1998-07-02

arxiv.org/abs/math/9807007v2

Mathematics

Differential Geometry

10 pages, AMSTEX,typos corrected, thanks added

Scientific paper

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.

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