The first coefficients of the asymptotic expansion of the Bergman kernel of the spin^c Dirac operator
| Autor: | Xiaonan Ma, George Marinescu |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2005 |
| Předmět: |
Mathematics - Differential Geometry
Mathematics::Complex Variables Mathematics - Complex Variables General Mathematics Dirac (software) Curvature Dirac operator symbols.namesake Differential Geometry (math.DG) Line (geometry) symbols FOS: Mathematics Tensor Complex Variables (math.CV) Asymptotic expansion Eigenvalues and eigenvectors Bergman kernel Mathematical physics Mathematics |
| Popis: | We establish the existence of the asymptotic expansion of the Bergman kernel associated to the spin-c Dirac operators acting on high tensor powers of line bundles with non-degenerate mixed curvature (negative and positive eigenvalues) by extending the paper " On the asymptotic expansion of Bergman kernel " (math.DG/0404494) of Dai-Liu-Ma. We compute the second coefficient b_1 in the asymptotic expansion using the method of our paper "Generalized Bergman kernels on symplectic manifolds" (math.DG/0411559). 21 pages, to appear in Internat. J. Math. Precisions added in the abstract |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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