Refined analytic torsion: comparison theorems and examples

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dc.creatorHuang, Rung-Tzung
dc.date2006-02-10
dc.date2006-10-20
dc.date.accessioned2026-07-07T07:03:19Z
dc.date.available2026-07-07T07:03:19Z
dc.descriptionBraverman and Kappeler introduced a refinement of the Ray-Singer analytic torsion associated to a flat vector bundle over a closed odd-dimensional manifold. We study this notion and improve the Braverman-Kappeler theorem comparing the refined analytic torsion with Farber-Turaev refinement of the combinatorial torsion. Using this result we establish, modulo sign, the Burghelea-Haller conjecture, comparing their complex analytic torsion with Farber-Turaev torsion in the case, when the flat connection can be deformed in the space of flat connections to a Hermitian connection. We also compute the refined analytic torsion of lens spaces.
dc.description15 pages. To appear in Illinois Journal of Mathematics
dc.identifierhttps://arxiv.org/abs/math/0602231
dc.identifierhttp://arxiv.org/abs/math/0602231
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108926
dc.subjectDifferential Geometry
dc.subjectGeometric Topology
dc.titleRefined analytic torsion: comparison theorems and examples
dc.typetext

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