Determinants of Laplacians and isopolar metrics on surfaces of infinite area.

DOI10.1215/S0012-7094-03-11814-1zbMath1040.58013arXivmath/0111211OpenAlexW2592522857MaRDI QIDQ1421139

Peter A. Perry, David Borthwick, Christopher M. Judge

Publication date: 2003

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0111211

zbMATH Keywords

conformal deformation theoryHadamard factorization of relative determinantisopolar classesPolyakov formularelative scattering operatorZeta regularization

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) Determinants and determinant bundles, analytic torsion (58J52) Scattering theory of linear operators (47A40)

Related Items (10)

Generalized scattering phases for asymptotically hyperbolic manifolds ⋮ Hecke triangle groups, transfer operators and Hausdorff dimension ⋮ Determinants of Laplacians on random hyperbolic surfaces ⋮ Analytic torsion for surfaces with cusps. I: Compact perturbation theorem and anomaly formula ⋮ Isoscattering on surfaces ⋮ Upper and Lower Bounds on Resonances for Manifolds Hyperbolic Near Infinity ⋮ Regularized determinants of the Laplacian for cofinite Kleinian groups with finite-dimensional unitary representations ⋮ Inverse scattering results for manifolds hyperbolic near infinity ⋮ Ricci Flow and the Determinant of the Laplacian on Non-Compact Surfaces ⋮ Compactness of relatively isospectral sets of surfaces via conformal surgeries

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