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math.DG2021
Quantization of symplectic fibrations and canonical metrics
Louis Ioos, Leonid Polterovich
We relate Berezin-Toeplitz quantization of higher rank vector bundles to quantum-classical hybrid systems and quantization in stages of symplectic fibrations. We apply this picture…
math.DG2021★ 1 cited
Balanced metrics for Kähler-Ricci solitons and quantized Futaki invariants
Louis Ioos
We show that a Kähler-Ricci soliton on a Fano manifold can always be smoothly approximated by a sequence of relative anticanonically balanced metrics, also called quantized Kähler-…