Removing Metric Anomalies from Ray–Singer Torsion |
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| Authors: | Burghelea D. |
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| Affiliation: | (1) Centre de Math?mathiques, Ecole Polytechnique, 91128 Palaiseau Cedex, France;(2) Faculty of Mathematics, University of Bucharest, 14 Academiei str., Bucharest, Romania;(3) Institute of Mathematics “Simion Stoilow” of the Romanian Academy, P.O. Box 1-764, RO-014700 Bucharest, Romania |
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| 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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| Keywords: | Torsion determinant line. |
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