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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Publié le :
Xiaonan Ma 1 ; Weiping Zhang 2
@article{CRMATH_2005__341_5_297_0, author = {Xiaonan Ma and Weiping Zhang}, 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}, }
Xiaonan Ma; Weiping Zhang. Bergman kernels and symplectic reduction. Comptes Rendus. Mathématique, Volume 341 (2005) no. 5, pp. 297-302. doi : 10.1016/j.crma.2005.07.009. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2005.07.009/
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