A Canonical Quadratic Form on the Determinant Line of a Flat Vector Bundle

DOI10.1093/imrn/rnn030zbMath1146.58023arXiv0710.1232OpenAlexW2963807749MaRDI QIDQ3515971

Maxim Braverman, Thomas Kappeler

Publication date: 30 July 2008

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.1232

zbMATH Keywords

torsionvector bundletorsion quadratic formcanonical quadratic formclosed oriented odd-dimensional manifold

Mathematics Subject Classification ID

Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Determinants and determinant bundles, analytic torsion (58J52) Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10) Complex manifolds as subdomains of Euclidean space (32Q35)

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Refined analytic torsion as analytic function on the representation variety and applications ⋮ Ruelle zeta functions of hyperbolic manifolds and Reidemeister torsion ⋮ Comparison of the refined analytic and the Burghelea-Haller torsions ⋮ A Cheeger-Müller theorem for symmetric bilinear torsions on manifolds with boundary ⋮ Cappell-Miller analytic torsion for manifolds with boundary ⋮ Refined analytic torsion on manifolds with boundary

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