Publication: Ray-Singer type theorem for the refined analytic torsion
Ray-Singer type theorem for the refined analytic torsion
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Braverman, M., & Kappeler, T. (2007). Ray-Singer type theorem for the refined analytic torsion. Journal of Functional Analysis, 243(1), 232–256. https://doi.org/10.1016/j.jfa.2006.10.008
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We show that the refined analytic torsion is a holomorphic section of the determinant line bundle over the space of complex representations of the fundamental group of a closed oriented odd-dimensional manifold. Further, we calculate the ratio of the refined analytic torsion and the Farber–Turaev combinatorial torsion. As an application, we establish a formula relating the eta-invariant and the phase of the Farber–Turaev torsion, which extends a theorem of Farber and earlier results of ours. This formula allows to study the spectral f
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- Braverman, M
- Kappeler, T
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Braverman, M., & Kappeler, T. (2007). Ray-Singer type theorem for the refined analytic torsion. Journal of Functional Analysis, 243(1), 232–256. https://doi.org/10.1016/j.jfa.2006.10.008
