Nous annonçons des résultats sur le développement asymptotique du noyau de Bergman G-invariant de l'opérateur de Dirac associé à une puissance tendant vers l'infini d'un fibré en droites positif sur une variété symplectique compacte.
We present several results concerning the asymptotic expansion of the invariant Bergman kernel of the Dirac operator associated with high tensor powers of a positive line bundle on a compact symplectic manifold.
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@article{CRMATH_2005__341_5_297_0, author = {Ma, Xiaonan and Zhang, Weiping}, title = {Bergman kernels and symplectic reduction}, journal = {Comptes Rendus. Math\'ematique}, pages = {297--302}, publisher = {Elsevier}, volume = {341}, number = {5}, year = {2005}, doi = {10.1016/j.crma.2005.07.009}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.crma.2005.07.009/} }
TY - JOUR AU - Ma, Xiaonan AU - Zhang, Weiping TI - Bergman kernels and symplectic reduction JO - Comptes Rendus. Mathématique PY - 2005 SP - 297 EP - 302 VL - 341 IS - 5 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2005.07.009/ DO - 10.1016/j.crma.2005.07.009 LA - en ID - CRMATH_2005__341_5_297_0 ER -
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. http://www.numdam.org/articles/10.1016/j.crma.2005.07.009/
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