Removing Metric Anomalies from Ray–Singer Torsion

Letters in Mathematical Physics - Tập 47 - Trang 149-158 - 1999
D. Burghelea

Tóm tắt

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.

Tài liệu tham khảo

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