Generalized Bergman kernels on symplectic manifolds

Xiaonan Ma; George Marinescu

doi:10.1016/j.crma.2004.07.016

Differential Geometry

Generalized Bergman kernels on symplectic manifolds

Presented by: Jean-Michel Bismut

Xiaonan Ma ¹; George Marinescu ²

¹Centre de mathématiques, UMR 7640 du CNRS, École polytechnique, 91128 Palaiseau cedex, France
²Humboldt-Universität zu Berlin, Institut für Mathematik, Rudower Chaussee 25, 12489 Berlin, Germany

Comptes Rendus. Mathématique, Volume 339 (2004) no. 7, pp. 493-498

Abstract (Original language)
Résumé

We study the asymptotic of the generalized Bergman kernels of the renormalized Bochner–Laplacian on high tensor powers of a positive line bundle on compact symplectic manifolds.

On étudie le développement asymptotique du noyau de Bergman généralisé du Laplacien de Bochner renormalisé associé à une puissance tendant vers l'infini d'un fibré en droites positif sur une variété symplectique compacte.

Received: 2004-07-12
Published online: 2004-09-11

DOI: 10.1016/j.crma.2004.07.016

Author's affiliations:

Xiaonan Ma ¹ ; George Marinescu ²

¹ Centre de mathématiques, UMR 7640 du CNRS, École polytechnique, 91128 Palaiseau cedex, France
² Humboldt-Universität zu Berlin, Institut für Mathematik, Rudower Chaussee 25, 12489 Berlin, Germany

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     author = {Xiaonan Ma and George Marinescu},
     title = {Generalized {Bergman} kernels on symplectic manifolds},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {493--498},
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     publisher = {Elsevier},
     volume = {339},
     number = {7},
     doi = {10.1016/j.crma.2004.07.016},
     language = {en},
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%A George Marinescu
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Xiaonan Ma; George Marinescu. Generalized Bergman kernels on symplectic manifolds. Comptes Rendus. Mathématique, Volume 339 (2004) no. 7, pp. 493-498. doi: 10.1016/j.crma.2004.07.016

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