Refined analytic torsion as an element of the determinant line

DOI10.2140/gt.2007.11.139zbMath1135.58014arXivmath/0510532OpenAlexW3103107774MaRDI QIDQ873941

Thomas Kappeler, Maxim Braverman

Publication date: 21 March 2007

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510532

zbMATH Keywords

eta invariantodd signature operatorrefined analytic torsionmetric anomalydeterminant lineRay-Singer torsion

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Eta-invariants, Chern-Simons invariants (58J28) Determinants and determinant bundles, analytic torsion (58J52)

Related Items

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 ⋮ Ray-Singer type theorem for the refined analytic torsion ⋮ Refined analytic torsion as an element of the determinant line ⋮ Ruelle zeta functions of hyperbolic manifolds and Reidemeister torsion ⋮ The comparison of two constructions of the refined analytic torsion on compact manifolds with boundary ⋮ The refined analytic torsion and a well-posed boundary condition for the odd signature operator ⋮ The gluing formula of the refined analytic torsion for an acyclic Hermitian connection ⋮ The gluing formula of the zeta-determinants of Dirac Laplacians for certain boundary conditions ⋮ 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 ⋮ Refined analytic torsion on manifolds with boundary ⋮ Burghelea-Haller analytic torsion for manifolds with boundary ⋮ Functional equations of Selberg and Ruelle zeta functions for non-unitary twists ⋮ Complex‐valued analytic torsion for flat bundles and for holomorphic bundles with (1,1) connections

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