Precise constants in bosonization formulas on Riemann surfaces. I
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Publication:2517936
DOI10.1007/s00220-008-0560-zzbMath1158.58017OpenAlexW2108427820WikidataQ125121829 ScholiaQ125121829MaRDI QIDQ2517936
Publication date: 12 January 2009
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00220-008-0560-z
Laplace operatorRiemann surfacezeta-regularized determinantArakelov metricFaltings' delta invariantbosonization formula
Complex-analytic moduli problems (32G13) Determinants and determinant bundles, analytic torsion (58J52)
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Cites Work
- Unnamed Item
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- Calculus on arithmetic surfaces
- Two-loop superstrings and \(S\)-duality
- Algebraic geometry and the geometry of quantum strings
- The hyperbolic metric and the geometry of the universal curve
- On determinants of Laplacians on Riemann surfaces
- Theta functions, modular invariance, and strings
- Evaluation of the one loop string path integral
- Determinants of Laplacians
- Asymptotics of the spectrum and the Selberg zeta function on the space of Riemann surfaces
- Conformal invariants for determinants of Laplacians on Riemann surfaces
- Spectral functions, special functions and the Selberg zeta function
- Bosonization on higher genus Riemann surfaces
- String theory and algebraic geometry of moduli spaces
- Precise variational formulas for Abelian differentials
- Analytic torsion and the arithmetic Todd genus. (With an appendix by D. Zagier)
- Mayer-Vietoris type formula for determinants of elliptic differential operators
- Asymptotic behavior of Faltings's delta function
- The asymptotics of the Arakelov-Green's function and Faltings' delta invariant
- Theta functions on Riemann surfaces
- Continuity of relative hyperbolic spectral theory through metric degeneration
- Regularized determinants of Laplace-type operators, analytic surgery, and relative determinants
- Adiabatic decomposition of the \(\xi\)-determinant and Dirichlet to Neumann operator
- Determinant of the Neumann Operator on Smooth Jordan Curves
- Asymptotics of determinants from functional integration
- Kernel functions, analytic torsion, and moduli spaces
- INTERSECTION THEORY OF DIVISORS ON AN ARITHMETIC SURFACE
- Burghelea-Friedlander-Kappeler’s gluing formula for the zeta-determinant and its applications to the adiabatic decompositions of the zeta-determinant and the analytic torsion
- The Determinant of the Dirichlet-to-Neumann Map for Surfaces with Boundary
- Regular 𝑏-groups, degenerating Riemann surfaces, and spectral theory
