Transversal Index and L2-index for Manifolds with Boundary

DOI10.1007/978-3-0348-0257-4_10zbMath1270.58013OpenAlexW2227496329MaRDI QIDQ2905640

Xiaonan Ma, Weiping Zhang

Publication date: 28 August 2012

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

Full work available at URL: https://doi.org/10.1007/978-3-0348-0257-4_10

zbMATH Keywords

manifold with boundarygeometric quantizationequivariant Dirac operatortransversal index

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Geometric quantization (53D50)

Related Items (5)

A \(KK\)-theoretic perspective on deformed Dirac operators ⋮ Geometric quantization for proper moment maps: the Vergne conjecture ⋮ Norm-square localization and the quantization of Hamiltonian loop group spaces ⋮ Background cohomology of a non-compact Kähler 𝐺-manifold ⋮ Elliptic boundary value problem on non-compact G-manifolds

Cites Work

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• Geometric quantization for proper moment maps
• Elliptic operators and compact groups
• Quantization formula for symplectic manifolds with boundary
• Index theorem for equivariant Dirac operators on noncompact manifolds
• Holomorphic Morse inequalities and Bergman kernels
• Equivariant K-theory
• Essential self-adjointness of powers of generators of hyperbolic equations
• Spinc-quantization and the K-multiplicities of the discrete series
• Localization of the Riemann-Roch character

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