Hearing Delzant polytopes from the equivariant spectrum

DOI10.1090/S0002-9947-2011-05412-7zbMath1244.58011arXiv0908.0727OpenAlexW2133904472MaRDI QIDQ3116578

Rosa Sena-Dias, Emily B. Dryden, Victor W. Guillemin

Publication date: 24 February 2012

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

Full work available at URL: https://arxiv.org/abs/0908.0727

zbMATH Keywords

HamiltonianLaplaciansymplectic manifoldtoricequivariant spectrummoment polytopeDelzant polytope

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Momentum maps; symplectic reduction (53D20)

Related Items (5)

Bounding \(\lambda_2\) for Kähler-Einstein metrics with large symmetry groups ⋮ On the topology of real Lagrangians in toric symplectic manifolds ⋮ Equivariant inverse spectral theory and toric orbifolds ⋮ Recent results on the spectra of Lens spaces ⋮ Non-isometric Riemannian \(G\)-manifolds with equal equivariant spectra

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