Anomalies and analytic torsion on hyperbolic manifolds

DOI10.1063/1.532949zbMath0971.58020arXivhep-th/9901054OpenAlexW3100900669WikidataQ125968340 ScholiaQ125968340MaRDI QIDQ4270408

No author found.

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9901054

zbMATH Keywords

anomalyhyperbolic manifoldzeta functionanalytic torsionLaplacianzeta-regularized determinants

Mathematics Subject Classification ID

Determinants and determinant bundles, analytic torsion (58J52)

Cites Work

• Unnamed Item
• Unnamed Item
• Gravity coupled with matter and the foundation of non-commutative geometry
• The Selberg trace formula and the Ruelle zeta function for compact hyperbolics
• The symmetry of warped product space-times
• Theorie der Normalflächen. Ein Isotopiekriterium für den Kreisknoten
• Analytic torsion and closed geodesics on hyperbolic manifolds
• The action functional in non-commutative geometry
• Quantum field theory and the Jones polynomial
• The partition function of a degenerate functional
• Selberg type zeta functions for the group of complex two by two matrices of determinant one
• The partition function of degenerate quadratic functional and Ray-Singer invariants
• Analytic torsion and R-torsion of Riemannian manifolds
• Analytic torsion and the heat equation
• Zeta-function regularization, the multiplicative anomaly and the Wodzicki residue
• The Dirac operator and gravitation
• Meromorphic continuation of Minakshisundaram-Pleijel series for semisimple Lie groups
• Ray-Singer torsion for a hyperbolic 3-manifold and asymptotics of Chern-Simons-Witten invariant
• Applications in physics of the multiplicative anomaly formula involving some basic differential operators
• Gravity, non-commutative geometry and the Wodzicki residue
• R-torsion and the Laplacian on Riemannian manifolds
• On the geometry of warped spacetimes
• Spectral asymmetry and Riemannian Geometry. I
• On the Selberg trace formula in the case of compact quotient
• Zeta functions on a product of Einstein manifolds, and the multiplicative anomaly
• Topological Casimir energy for a general class of Clifford–Klein space–times
• The conformal anomaly in N-dimensional spaces having a hyperbolic spatial section
• Whitehead torsion

This page was built for publication: Anomalies and analytic torsion on hyperbolic manifolds