Ray-Singer type theorem for the refined analytic torsion

DOI10.1016/j.jfa.2006.10.008zbMath1122.58018arXivmath/0603638OpenAlexW2119136486MaRDI QIDQ868931

Maxim Braverman, Thomas Kappeler

Publication date: 26 February 2007

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603638

zbMATH Keywords

analytic torsioneta-invariantTuraev torsiondeterminant lineRay-Singer

Mathematics Subject Classification ID

Eta-invariants, Chern-Simons invariants (58J28) Determinants and determinant bundles, analytic torsion (58J52) Spectral flows (58J30)

Related Items (10)

Complex-valued Ray-Singer torsion ⋮ Euler structures, the variety of representations and the Milnor-Turaev torsion ⋮ Analytic torsion of generic rank two distributions in dimension five ⋮ Refined analytic torsion as analytic function on the representation variety and applications ⋮ Refined analytic torsion as an element of the determinant line ⋮ A Cheeger-Müller theorem for symmetric bilinear torsions ⋮ Comparison of the refined analytic and the Burghelea-Haller torsions ⋮ Burghelea-Haller analytic torsion of $\mathbb {Z}_{2}$-graded elliptic complexes ⋮ Cappell-Miller analytic torsion for manifolds with boundary ⋮ Complex‐valued analytic torsion for flat bundles and for holomorphic bundles with (1,1) connections

Cites Work

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• Euler structures, the variety of representations and the Milnor-Turaev torsion
• Refined analytic torsion as an element of the determinant line
• Refined analytic torsion: comparison theorems and examples
• Determinants of Cauchy-Riemann operators on a Riemann surface
• Absolute torsion and eta-invariant
• Asymptotic expansion of the Witten deformation of the analytic torsion
• Complex-valued Ray-Singer torsion
• Comparison of the refined analytic and the Burghelea-Haller torsions
• Refined analytic torsion
• A refinement of the Ray-Singer torsion
• EULER STRUCTURES, NONSINGULAR VECTOR FIELDS, AND TORSIONS OF REIDEMEISTER TYPE
• On the Stiefel-Whitney Classes of a Manifold
• Reidemeister torsion in knot theory
• Spectral asymmetry and Riemannian Geometry. I
• Spectral asymmetry and Riemannian geometry. II
• Poincar\'e--Reidemeister metric, Euler structures, and torsion
• The deformation theory of representations of fundamental groups of compact Kähler manifolds

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