Analytic torsion for line bundles on Riemann surfaces
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Publication:1814231
DOI10.1215/S0012-7094-91-06222-8zbMath0749.57005MaRDI QIDQ1814231
Publication date: 25 June 1992
Published in: Duke Mathematical Journal (Search for Journal in Brave)
analytic torsion as a function on the space of flat line bundlesline bundles over Riemann surfacesRiemann's theta-function
Differential complexes (58J10) Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10) Riemann surfaces (30F99)
Related Items (5)
Asymptotic behavior of the Selberg zeta functions for degenerating families of hyperbolic manifolds ⋮ Analytic torsion of all vector bundles over an elliptic curve ⋮ On directional derivatives of the theta function along its divisor ⋮ Deligne pairings and families of rank one local systems on algebraic curves ⋮ Star products of Green's currents and automorphic forms.
Cites Work
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- The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
- Calculus on arithmetic surfaces
- Determinants of Cauchy-Riemann operators on a Riemann surface
- Theta functions, modular invariance, and strings
- Determinants of Laplacians
- Geodesics in homology classes
- Bosonization on higher genus Riemann surfaces
- String theory and algebraic geometry of moduli spaces
- Asymptotic behavior of Faltings's delta function
- Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
- Theta functions on Riemann surfaces
- Analytic torsion for complex manifolds
- ON ANALOGUES OF THE ARTIN FACTORIZATION FORMULAS IN THE SPECTRAL THEORY OF AUTOMORPHIC FUNCTIONS CONNECTED WITH INDUCED REPRESENTATIONS OF FUCHSIAN GROUPS
- Theta functions, kernel functions, and Abelian integrals
- Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds
- Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
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