Geodesic
Differential Geometry
On the asymptotic expansion of Bergman kernel
[Sur le développement asymptotique du noyau de Bergman.]

Présenté par : Jean-Michel Bismut

Dai, Xianzhe1 ; Liu, Kefeng2, 3 ; Ma, Xiaonan4
1 Department of Mathematics, UCSB, California, CA 93106, USA
2 Center of Mathematical Science, Zhejiang University, China
3 Department of Mathematics, UCLA, California, CA 90095-1555, USA
4 Centre de mathématiques, CNRS UMR 7640, École polytechnique, 91128 Palaiseau cedex, France
Comptes Rendus. Mathématique, Tome 339 (2004) no. 3, pp. 193-198.

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We study the asymptotics of the Bergman kernel and the heat kernel of the spinc Dirac operator on high tensor powers of a line bundle.

On étudions les développements asymptotiques du noyau de la chaleur et de Bergman de l'opérateur de Dirac spinc associé à une puissance grande d'un fibré en droites positif.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2004.05.011

Dai, Xianzhe 1 ; Liu, Kefeng 2, 3 ; Ma, Xiaonan 4

1 Department of Mathematics, UCSB, California, CA 93106, USA
2 Center of Mathematical Science, Zhejiang University, China
3 Department of Mathematics, UCLA, California, CA 90095-1555, USA
4 Centre de mathématiques, CNRS UMR 7640, École polytechnique, 91128 Palaiseau cedex, France 
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Dai, Xianzhe; Liu, Kefeng; Ma, Xiaonan. On the asymptotic expansion of Bergman kernel. Comptes Rendus. Mathématique, Tome 339 (2004) no. 3, pp. 193-198. doi : 10.1016/j.crma.2004.05.011. http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2004.05.011/

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