Szegő kernel asymptotics and Morse inequalities on CR manifolds with \(S^1\) action

DOI10.4310/AJM.2018.v22.n3.a2zbMath1398.32002arXiv1502.02365OpenAlexW2963739485MaRDI QIDQ1654918

Chin-Yu Hsiao, Xiao Shan Li

Publication date: 9 August 2018

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.02365

zbMATH Keywords

Morse inequalitiesCR manifolds\(S^1\)-actionSzegő kernel asymptotics

Mathematics Subject Classification ID

Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25) Analysis on CR manifolds (32V20)

Related Items (10)

Unnamed Item ⋮ Morse inequalities for Fourier components of Kohn-Rossi cohomology of CR manifolds with \(S^1\)-action ⋮ Szegő kernel expansion and equivariant embedding of CR manifolds with circle action ⋮ Szegö kernel asymptotic expansion on strongly pseudoconvex CR manifolds with S1 action ⋮ CR eigenvalue estimate and Kohn-Rossi cohomology. II ⋮ Equivariant Kodaira embedding for CR manifolds with circle action ⋮ Torus equivariant Szegő kernel asymptotics on strongly pseudoconvex CR manifolds ⋮ The Asymptotics of the $L^2$-analytic Torsion on CR Manifolds with $S^1$ Action ⋮ Morse inequalities for Fourier components of Kohn-Rossi cohomology of CR covering manifolds with \(S^1\)-action ⋮ Heat kernel asymptotics for Kohn Laplacians on CR manifolds

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