Bergman kernel and Geometric quantization (joint with Weiping ...
Bergman kernel and Geometric quantization (joint with Weiping ...
Bergman kernel and Geometric quantization (joint with Weiping ...
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Quantization on symplectic manifolds<br />
<strong>Bergman</strong> <strong>kernel</strong> <strong>and</strong> qeometric <strong>quantization</strong><br />
<strong>Geometric</strong> data<br />
Motivations <strong>and</strong> results<br />
Scalar curvature on reduction<br />
Metric aspect of <strong>quantization</strong><br />
◮ (X, ω) compact symplectic manifold, dimR X = 2n.<br />
◮ (L, h L ) Hermitian (complex) line bundle on X.<br />
◮ (E, h E ) Hermitian (complex) vector bundle on X.<br />
◮ ∇ L , ∇ E Hermitian connections on (L, h L ), (E, h E ).<br />
Xiaonan Ma <strong>Bergman</strong> <strong>kernel</strong> <strong>and</strong> <strong>Geometric</strong> <strong>quantization</strong> (jo