Abstract
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 Letter, 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 a Euler structure in order to obtain a topological invariant. A numerical invariant for a Euler structure with additional data is also constructed.
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Burghelea, D. Removing Metric Anomalies from Ray–Singer Torsion. Letters in Mathematical Physics 47, 149–158 (1999). https://doi.org/10.1023/A:1007547205813
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DOI: https://doi.org/10.1023/A:1007547205813