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BIRS Workshop Lecture Videos

Berezin-Toeplitz quantization for eigenstates of the Bochner-Laplacian on symplectic manifolds Marinescu, George


We study the Berezin-Toeplitz quantization using as quantum space the space of eigenstates of the renormalized Bochner Laplacian on a symplectic manifold, corresponding to eigenvalues localized near the origin. We show that this quantization has the correct semiclassical behavior and construct the corresponding star-product. This is joint work with L. Ioos, W. Lu and X. Ma.

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