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A family quantization formula for symplectic manifolds with boundary

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Publication:1609671
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DOI10.1007/BF02876708zbMath1008.53076OpenAlexW1491774649MaRDI QIDQ1609671

Wenchuan Hu, Huitao Feng, Weiping Zhang

Publication date: 15 August 2002

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02876708


zbMATH Keywords

reductionHamiltonian actionsymplectic manifold with boundary\(\text{Spin}^c\)-Dirac operatorfamily quantizationhigher spectral flow


Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Spin and Spin({}^c) geometry (53C27) Momentum maps; symplectic reduction (53D20) Geometric quantization (53D50) Topological (K)-theory (55N15) Equivariant (K)-theory (19L47)




Cites Work

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  • An analytic proof of the geometric quantization conjecture of Guillemin-Sternberg
  • Geometric quantization and multiplicities of group representations
  • Complex immersions and Quillen metrics
  • Quantization formula for symplectic manifolds with boundary
  • Families of Dirac operators, boundaries and the \(B\)-calculus
  • The index of elliptic operators. IV, V
  • Convexity and Commuting Hamiltonians
  • Spectral asymmetry and Riemannian Geometry. I
  • Higher spectral flow
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