From Local Index Theory to Bergman Kernel: A Heat Kernel Approach
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Publication:3300606
DOI10.1007/978-3-030-34953-0_13zbMath1471.58025OpenAlexW3016137664MaRDI QIDQ3300606
Publication date: 29 July 2020
Published in: Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-34953-0_13
Index theory and related fixed-point theorems on manifolds (58J20) Heat and other parabolic equation methods for PDEs on manifolds (58J35)
Cites Work
- Toeplitz operators on symplectic manifolds
- Champs magnétiques et inégalités de Morse pour la d-cohomologie. (Magnetic fields and Morse inequalities for d-cohomology)
- Demailly's asymptotic Morse inequalities: a heat equation proof
- Complex immersions and Quillen metrics
- The asymptotics of the Ray-Singer analytic torsion associated with high powers of a positive line bundle
- Berezin-Toeplitz quantization for eigenstates of the Bochner Laplacian on symplectic manifolds
- Holomorphic Morse inequalities and Bergman kernels
- ASYMPTOTIC TORSION AND TOEPLITZ OPERATORS
- Berezin–Toeplitz quantization on Kähler manifolds
- Generalized Bergman kernels on symplectic manifolds
- On the asymptotic expansion of Bergman kernel
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