Geodesic
Differential Geometry
Generalized Bergman kernels on symplectic manifolds
[Noyaux de Bergman généralisés sur les variétés symplectiques.]

Présenté par : Jean-Michel Bismut

Ma, Xiaonan1 ; Marinescu, George2 
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
Comptes Rendus. Mathématique, Tome 339 (2004) no. 7, pp. 493-498.

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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.

Reçu le :
Publié le :
DOI : 10.1016/j.crma.2004.07.016

Ma, Xiaonan 1 ; Marinescu, George 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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Ma, Xiaonan; Marinescu, George. Generalized Bergman kernels on symplectic manifolds. Comptes Rendus. Mathématique, Tome 339 (2004) no. 7, pp. 493-498. doi : 10.1016/j.crma.2004.07.016. http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2004.07.016/

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