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- W2949672779 abstract "The refined analytic torsion associated to a flat vector bundle over a closed odd-dimensional manifold canonically defines a quadratic form $tau$ on the determinant line of the cohomology. Both $tau$ and the Burghelea-Haller torsion are refinements of the Ray-Singer torsion. We show that whenever the Burghelea-Haller torsion is defined it is equal to $pmtau$. As an application we obtain new results about the Burghelea-Haller torsion. In particular, we prove a weak version of the Burghelea-Haller conjecture relating their torsion with the square of the Farber-Turaev combinatorial torsion." @default.
- W2949672779 created "2019-06-27" @default.
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- W2949672779 date "2006-06-16" @default.
- W2949672779 modified "2023-09-27" @default.
- W2949672779 title "Comparison of the refined analytic and the Burghelea-Haller torsions" @default.
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