A Cheeger-Mueller theorem for symmetric bilinear torsions

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dc.creatorSu, Guangxiang
dc.creatorZhang, Weiping
dc.date2006-10-19
dc.date.accessioned2026-07-07T09:50:16Z
dc.date.available2026-07-07T09:50:16Z
dc.descriptionWe generalize a theorem of Bismut-Zhang, which extends the Cheeger-Mueller theorem on Ray-Singer torsion and Reidemeister torsion, to the case where the flat vector bundle over a closed manifold carries a nondegenerate symmetric bilinear form. As a consequence, we prove the Burghelea-Haller conjecture which gives an analytic interpretation of the Turaev torsion. It thus also provides an analytic interpretation of (not merely the absolute value of) the Alexander polynomial in knot theory.
dc.description48 pages
dc.identifierhttps://arxiv.org/abs/math/0610577
dc.identifierhttp://arxiv.org/abs/math/0610577
dc.identifierChinese Annals of Mathematics, 29B (2008), 385-424.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164887
dc.subjectDifferential Geometry
dc.subjectSpectral Theory
dc.titleA Cheeger-Mueller theorem for symmetric bilinear torsions
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