Bergman kernel and Geometric quantization (joint with Weiping ...

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Quantization on symplectic manifolds Bergman kernel and qeometric quantization Motivations and results Motivations and results Scalar curvature on reduction Metric aspect of quantization ◮ Results : Asymptotic expansion of G-invariant Bergman kernel on a compact symplectic manifold equipped with Hamiltonian action of a compact connected Lie group. ◮ Motivations : Version from the local index theory for Geometric quantization commutes with reduction ? Xiaonan Ma Bergman kernel and Geometric quantization (jo
Quantization on symplectic manifolds Bergman kernel and qeometric quantization Motivations and results Motivations and results Scalar curvature on reduction Metric aspect of quantization ◮ Results : Asymptotic expansion of G-invariant Bergman kernel on a compact symplectic manifold equipped with Hamiltonian action of a compact connected Lie group. ◮ Motivations : Version from the local index theory for Geometric quantization commutes with reduction ? ◮ Applications in Donaldson’s program ? Xiaonan Ma Bergman kernel and Geometric quantization (jo
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