Bochner Laplacian and Bergman kernel expansion of semi-positive line bundles on a Riemann surface
Date
26/11/2019
Horaire
14:00 à 15:00
Diffusion
Résume
We generalize the results of Montgomery for the Bochner Laplacian on high tensor powers of a line bundle. When specialized to Riemann surfaces, this leads to the Bergman kernel expansion and geometric quantization results for semi-positive line bundles whose curvature vanishes at finite order. The proof exploits the relation of the Bochner Laplacian on tensor powers with the sub-Riemannian (sR) Laplacian.
