A Cheeger-Müller theorem for symmetric bilinear torsions

Abstract

The authors establish a Cheeger-Müller type theorem for the complex valued analytic torsion introduced by Burghelea and Haller for flat vector bundles carrying nondegenerate symmetric bilinear forms. As a consequence, they prove the Burghelea-Haller conjecture in full generality, which gives an analytic interpretation of (the square of) the Turaev torsion.

Keywords

Analytic torsion / Symmetric bilinear form / Cheeger-Müller theorem / Bismut-Zhang theorem

References

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