Hearing the weights of weighted projective planes

DOI10.1007/s10455-007-9092-6zbMath1140.58011arXivmath/0608462OpenAlexW1964951364MaRDI QIDQ927172

Emily B. Dryden, Pedro Freitas, Miguel Abreu, Leonor Godinho

Publication date: 4 June 2008

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608462

zbMATH Keywords

Laplace spectrumHeat invariantsWeighted projective planes

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Equivariant homology and cohomology in algebraic topology (55N91) Momentum maps; symplectic reduction (53D20)

Related Items (3)

Geodesics on weighted projective spaces ⋮ Semi-classical weights and equivariant spectral theory ⋮ Functional equations for orbifold wreath products

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The moment map and equivariant cohomology
• Seifert fibred homology 3-spheres and the Yang-Mills equations on Riemann surfaces with marked points
• Spectrum and the fixed point sets of isometries. II
• Asymptotic expansions for the compact quotients of properly discontinuous group actions
• Symplectic surgery and the Spin\(^c\)-Dirac operator
• Seiberg-Witten monopoles on Seifert fibered spaces
• Kähler metrics on toric orbifolds.
• Topologie dreidimensionaler gefaserter Räume
• Explicit evaluations and reciprocity theorems for finite trigonometric sums
• One cannot hear orbifold isotropy type
• Spectral bounds on orbifold isotropy
• Hamiltonian 2-forms in Kähler geometry. I: General theory
• Asymptotic expansion of the heat kernel for orbifolds
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Higher dimensional Dedekind sums
• On eigen-values of Laplacian and curvature of Riemannian manifold
• Eigenvalues of the Laplacian of Riemannian manifolds
• Bochner-Kähler metrics
• Semifree symplectic circle actions on 4-orbifolds
• ON THE CALABI ENERGY OF EXTREMAL KÄHLER METRICS
• An inequality for $4$-dimensional Kählerian manifolds
• The Geometries of 3-Manifolds
• Orbifold spectral theory

This page was built for publication: Hearing the weights of weighted projective planes