Quantization of the Laplacian operator on vector bundles. I

DOI10.1007/s00208-015-1355-0zbMath1353.53093arXiv1505.03836OpenAlexW1013397726MaRDI QIDQ343150

Julien Meyer, Julien Keller, Reza Seyyedali

Publication date: 25 November 2016

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.03836

zbMATH Keywords

projective manifoldBochner LaplacianLaplacian operator on vector bundles

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Asymptotic distributions of eigenvalues in context of PDEs (35P20) General theory of partial differential operators (47F05) Momentum maps; symplectic reduction (53D20) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Geometric quantization (53D50)

Related Items (7)

Anticanonically balanced metrics on Fano manifolds ⋮ Quantization of symplectic fibrations and canonical metrics ⋮ Mapping properties of the Hilbert and Fubini-study maps in Kähler geometry ⋮ Spectral aspects of the Berezin transform ⋮ On the composition of Berezin-Toeplitz operators on symplectic manifolds ⋮ Relative Chow stability and extremal metrics ⋮ A note on Berezin-Toeplitz quantization of the Laplace operator

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