Szegö kernel asymptotic expansion on strongly pseudoconvex CR manifolds with S1 action

DOI10.1142/S0129167X18500611zbMath1400.32022arXiv1610.04669MaRDI QIDQ4584432

Chin-Yu Hsiao, Hendrik Herrmann, Xiao Shan Li

Publication date: 3 September 2018

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.04669

zbMATH Keywords

asymptotic expansionCR manifoldSzegő kernel

Mathematics Subject Classification ID

Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Analysis on CR manifolds (32V20)

Related Items (5)

Unnamed Item ⋮ Torus equivariant Szegő kernel asymptotics on strongly pseudoconvex CR manifolds ⋮ Equidistribution theorems on strongly pseudoconvex domains ⋮ On the coefficients of the equivariant Szegő kernel asymptotic expansions ⋮ On the second coefficient of the asymptotic expansion of Boutet de Monvel-Sjőestrand

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Morse inequalities for Fourier components of Kohn-Rossi cohomology of CR manifolds with \(S^1\)-action
• Weighted Bergman kernels on orbifolds
• On a set of polarized Kähler metrics on algebraic manifolds
• A direct approach to Bergman kernel asymptotics for positive line bundles
• CR structures with group action and extendability of CR functions
• On the variation in the cohomology of the symplectic form of the reduced phase space
• Riemannian foliations. With appendices by G. Cairns, Y. Carrière, E. Ghys, E. Salem, V. Sergiescu
• Pseudo-hermitian structures on a real hypersurface
• Scalar curvature and projective embeddings. I
• On the stability of equivariant embedding of compact CR manifolds with circle action
• Szegő kernel asymptotics and Morse inequalities on CR manifolds with \(S^1\) action
• Szegő kernel expansion and equivariant embedding of CR manifolds with circle action
• Holomorphic Morse inequalities and Bergman kernels
• A remark on weighted Bergman kernels on orbifolds
• Asymptotics of spectral function of lower energy forms and Bergman kernel of semi-positive and big line bundles
• Sasakian structures on CR-manifolds
• Berezin–Toeplitz quantization on Kähler manifolds
• ON SASAKIAN–EINSTEIN GEOMETRY
• Szegő kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR manifolds
• On the asymptotic expansion of Bergman kernel
• On the asymptotic expansion of Bergman kernel

This page was built for publication: Szegö kernel asymptotic expansion on strongly pseudoconvex CR manifolds with S1 action