Determinants of Laplacians, the Ray–Singer torsion on lens spaces and the Riemann zeta function

DOI10.1063/1.531134zbMath0842.58075arXivhep-th/9212022OpenAlexW2082084060MaRDI QIDQ4836831

Denjoe O'connor, Charles Nash

Publication date: 4 August 1996

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

Full work available at URL: https://arxiv.org/abs/hep-th/9212022

zbMATH Keywords

Riemann zeta functionlens spacesRay-Singer torsionzeta function determinantsLaplacians on forms

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) (zeta (s)) and (L(s, chi)) (11M06) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Determinants and determinant bundles, analytic torsion (58J52)

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Cites Work

• On quantum gauge theories in two dimensions
• Chern-Simons-Witten invariants of lens spaces and torus bundles, and the semiclassical approximation
• The partition function of degenerate quadratic functional and Ray-Singer invariants
• Analytic torsion and R-torsion of Riemannian manifolds
• A proof that Euler missed. Apéry's proof of the irrationality of \(\zeta(3)\). An informal report
• Analytic torsion and the heat equation
• Reidemeister torsion and the Laplacian on lens spaces
• R-torsion and the Laplacian on Riemannian manifolds
• Analytic torsion for complex manifolds

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