Determinant of Friedrichs Dirichlet Laplacians on 2-dimensional hyperbolic cones

DOI10.1142/S0219199721501078zbMath1505.58008arXiv2011.05407OpenAlexW4200599646WikidataQ115523109 ScholiaQ115523109MaRDI QIDQ5048649

Victor Kalvin

Publication date: 16 November 2022

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.05407

zbMATH Keywords

anomalyorbifolddeterminantLaplaciananalytic continuationconical singularitiesspindlePolyakov formulaEuclidean conesPolyakov-Alvarez formulahyperbolic conesBarnes double zetaBFKNeumann jump operatorspherical cones

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Determinants and determinant bundles, analytic torsion (58J52) Relationships between algebraic curves and physics (14H81)

Related Items (1)

Determinants of Laplacians for constant curvature metrics with three conical singularities on the 2-sphere

Cites Work

• Spectral determinants on Mandelstam diagrams
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• Ruelle zeta function for cofinite hyperbolic Riemann surfaces with ramification points
• Precise constants in bosonization formulas on Riemann surfaces. I
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• Lowest Landau level on a cone and zeta determinants
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