Heat kernel asymptotics, local index theorem and trace integrals for CR manifolds with $S^1$ action

zbMath1452.32043arXiv1511.00063MaRDI QIDQ5235995

I-Hsun Tsai, Jih-Hsin Cheng, Chin-Yu Hsiao

Publication date: 14 October 2019

Full work available at URL: https://arxiv.org/abs/1511.00063

zbMATH Keywords

heat kernellocal index theorytangential Cauchy-Riemann operatorCR manifolds with group action

Mathematics Subject Classification ID

CR structures, CR operators, and generalizations (32V05) Analysis on CR manifolds (32V20)

Related Items (10)

Unnamed Item ⋮ \(S^1\)-equivariant index theorems and Morse inequalities on complex manifolds with boundary ⋮ Sur les ensembles de rotation des homéomorphismes de surface en genre ≥ 2 ⋮ On the pro-$p$ Iwahori Hecke Ext-algebra of $\mathrm{SL}_2(\mathbb{Q}_p)$ ⋮ CR eigenvalue estimate and Kohn-Rossi cohomology. II ⋮ Asymptotics of torus equivariant Szegö kernel on a compact CR manifold ⋮ The Bochner-Kodaira-Nakano formula for line bundles on CR manifolds with transversal CR R-action ⋮ 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 ⋮ Bergman-Szegő kernel asymptotics in weakly pseudoconvex finite type cases

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