Additivity of spin$^c$-quantization under cutting

DOI10.1090/S0002-9947-09-04863-6zbMath1193.81060arXiv0708.1106MaRDI QIDQ3182541

Shay Fuchs

Publication date: 9 October 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.1106

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum field theory on curved space or space-time backgrounds (81T20) Geometry and quantization, symplectic methods (81S10) Spin and Spin({}^c) geometry (53C27)

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Cites Work

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• Symplectic surgery and the Spin\(^c\)-Dirac operator
• Equivariant index and the moment map for completely integrable torus actions
• Signature quantization
• Symplectic cuts
• The index of elliptic operators. III
• Quantization of presymplectic manifolds and circle actions

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