Asymptotic equivariant index of Toeplitz operators and relative index of CR structures

DOI10.1007/978-0-8176-8244-6_2zbMath1257.58015arXiv0808.1365OpenAlexW1643961788MaRDI QIDQ2914648

Xiang Tang, Louis Boutet de Monvel, Alan Weinstein, Eric Leichtnam

Publication date: 20 September 2012

Published in: Progress in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.1365

zbMATH Keywords

Toeplitz operatorsCR manifoldscontact manifoldsrelative index formula

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Pseudodifferential and Fourier integral operators on manifolds (58J40) Exotic index theories on manifolds (58J22) Contact manifolds (general theory) (53D10) Hyperfunctions (32A45) Equivariant (K)-theory (19L47)

Related Items (4)

Trace formula of semicommutators ⋮ Helton-Howe trace, Connes-Chern characters and Toeplitz quantization of Bergman spaces ⋮ A tribute to Louis Boutet de Monvel ⋮ Residual trace of Toeplitz or pseudodifferential projectors

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• General concept of quantization
• Cobordism, relative indices and Stein fillings
• Toeplitz operators and weighted Bergman kernels
• Elliptic operators and compact groups
• On the index of Toeplitz operators of several complex variables
• Contact degree and the index of Fourier integral operators
• Local formula for the index of a Fourier integral operator
• Weighted Bergman kernels and quantization
• Subelliptic Spin\(_\sigma\) Dirac operators. III: The Atiyah-Weinstein conjecture
• Subelliptic \(\mathrm{Spin}_{\mathbb C}\) Dirac operators. I
• Poisson geometry and deformation quantization near a strictly pseudoconvex boundary
• Subelliptic \(\mathrm{Spin}_{\mathbb C}\) Dirac operators. II: Basic estimates
• The index of elliptic operators. III
• Fourier integral operators. I
• Fourier integral operators. II
• Le théorème de l'indice relatif
• The Spectral Theory of Toeplitz Operators. (AM-99)
• Fourier integral operators with complex phase functions and parametrix for an interior boundary value problem
• Berezin Quantization and Reproducing Kernels on Complex Domains
• BOTT PERIODICITY AND THE INDEX OF ELLIPTIC OPERATORS

This page was built for publication: Asymptotic equivariant index of Toeplitz operators and relative index of CR structures