On Topological Upper-Bounds on the Number of Small Cuspidal Eigenvalues of Hyperbolic Surfaces of Finite Area

DOI10.1093/imrn/rnv092zbMath1343.58014arXiv1406.1076OpenAlexW3105169943MaRDI QIDQ3466429

Sugata Mondal

Publication date: 1 February 2016

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.1076

zbMATH Keywords

moduli spacehyperbolic surfacesmall cuspidal eigenvalues

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) General geometric structures on low-dimensional manifolds (57M50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Harmonic functions on Riemann surfaces (30F15)

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