Surfaces with boundary: their uniformizations, determinants of Laplacians, and isospectrality

DOI10.1215/00127094-2008-032zbMath1146.58027arXivmath/0609085OpenAlexW2002994163MaRDI QIDQ935190

Young-Heon Kim

Publication date: 5 August 2008

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

Full work available at URL: https://arxiv.org/abs/math/0609085

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Isospectrality (58J53)

Related Items

Spectral determinant on Euclidean isosceles triangle envelopes ⋮ Determinants of Laplacians for constant curvature metrics with three conical singularities on the 2-sphere ⋮ Polyakov-Alvarez type comparison formulas for determinants of Laplacians on Riemann surfaces with conical singularities ⋮ The determinant on flat conic surfaces with excision of disks ⋮ Compactness of relatively isospectral sets of surfaces via conformal surgeries ⋮ A Meyer-Vietoris formula for the determinant of the Dirichlet-to-Neumann operator on Riemann surfaces ⋮ Conic degeneration and the determinant of the Laplacian

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