Moduli spaces of meromorphic functions and determinant of the Laplacian

DOI10.1090/tran/7430zbMath1426.30029arXiv1410.3106OpenAlexW2962736964WikidataQ125030330 ScholiaQ125030330MaRDI QIDQ4635471

Victor Kalvin, Alexey Kokotov, Luc Hillairet

Publication date: 23 April 2018

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.3106

zbMATH Keywords

Riemann surfacedeterminantLaplaciansingular Riemann metric

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Determinants and determinant bundles, analytic torsion (58J52) Differentials on Riemann surfaces (30F30)

Related Items

Determinant of Friedrichs Dirichlet Laplacians on 2-dimensional hyperbolic cones ⋮ Spectral determinant on Euclidean isosceles triangle envelopes ⋮ On the kernel of the Laplace operator on two-dimensional polyhedra ⋮ Green Function and Self-adjoint Laplacians on Polyhedral Surfaces ⋮ On determinants of Laplacians on compact Riemann surfaces equipped with pullbacks of conical metrics by meromorphic functions ⋮ Polyakov-Alvarez type comparison formulas for determinants of Laplacians on Riemann surfaces with conical singularities ⋮ Isospectrality, comparison formulas for determinants of Laplacian and flat metrics with non-trivial holonomy

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