no. 5
Differential Geometry
Bergman kernels and symplectic reduction
[Noyaux de Bergman et réduction symplectique]
Présenté par : Jean-Michel Bismut
Ma, Xiaonan1 ; Zhang, Weiping2
1 Centre de mathématiques, UMR 7640 du CNRS, École polytechnique, 91128 Palaiseau cedex, France
2 Nankai Institute of Mathematics & LPMC, Nankai University, Tianjin 300071, PR China
Comptes Rendus. Mathématique, Tome 341 (2005) no. 5, pp. 297-302

We present several results concerning the asymptotic expansion of the invariant Bergman kernel of the spinc Dirac operator associated with high tensor powers of a positive line bundle on a compact symplectic manifold.

Nous annonçons des résultats sur le développement asymptotique du noyau de Bergman G-invariant de l'opérateur de Dirac spinc associé à une puissance tendant vers l'infini d'un fibré en droites positif sur une variété symplectique compacte.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2005.07.009

Ma, Xiaonan 1 ; Zhang, Weiping 2

1 Centre de mathématiques, UMR 7640 du CNRS, École polytechnique, 91128 Palaiseau cedex, France
2 Nankai Institute of Mathematics & LPMC, Nankai University, Tianjin 300071, PR China 
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Ma, Xiaonan; Zhang, Weiping. Bergman kernels and symplectic reduction. Comptes Rendus. Mathématique, Tome 341 (2005) no. 5, pp. 297-302. doi: 10.1016/j.crma.2005.07.009

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