Comparison of the refined analytic and the Burghelea-Haller torsions

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dc.creatorBraverman, Maxim
dc.creatorKappeler, Thomas
dc.date2006-06-16
dc.date2007-06-28
dc.date.accessioned2026-07-07T08:12:47Z
dc.date.available2026-07-07T08:12:47Z
dc.descriptionThe refined analytic torsion associated to a flat vector bundle over a closed odd-dimensional manifold canonically defines a quadratic form $τ$ on the determinant line of the cohomology. Both $τ$ 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 $\pmτ$. 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.
dc.descriptionTo appear in Annales de l'institut Fourier. Compared to the first version many statements are refined and improved
dc.identifierhttps://arxiv.org/abs/math/0606398
dc.identifierhttp://arxiv.org/abs/math/0606398
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132574
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject58J52; 58J28, 57R20
dc.titleComparison of the refined analytic and the Burghelea-Haller torsions
dc.typetext

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