The Bochner-Kodaira-Nakano formula for line bundles on CR manifolds with transversal CR R-action

DOI10.21915/BIMAS.2021202zbMath1478.32111OpenAlexW3188870608MaRDI QIDQ5164678

Huan Wang

Publication date: 12 November 2021

Published in: Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21915/bimas.2021202

zbMATH Keywords

CR manifoldsKohn LaplacianBochner-Kodaira-Nakano formula

Mathematics Subject Classification ID

Analysis on CR manifolds (32V20) (overlinepartial_b) and (overlinepartial_b)-Neumann operators (32W10)

Cites Work

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• On the singularities of the Szegő projections on lower energy forms
• Equivariant Kodaira embedding for CR manifolds with circle action
• Holomorphic Morse inequalities and Bergman kernels
• Szegő kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR manifolds
• On the second coefficient of the asymptotic expansion of Boutet de Monvel-Sjőestrand
• Asymptotics of torus equivariant Szegö kernel on a compact CR manifold
• The Asymptotics of the $L^2$-analytic Torsion on CR Manifolds with $S^1$ Action
• Heat kernel asymptotics, local index theorem and trace integrals for CR manifolds with $S^1$ action
• The Anomaly Formula of the Analytic Torsion on CR Manifolds with S^1 action

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