A Lefschetz fixed point formula for symplectomorphisms

DOI10.1016/J.GEOMPHYS.2010.07.002zbMath1204.53065arXiv1005.3443OpenAlexW1984484097MaRDI QIDQ608306

Laurent Charles

Publication date: 25 November 2010

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.3443

zbMATH Keywords

trace formulasemi-classical limitMaslov indexgeometric quantizationFourier integral operatorLefschetz fixed point formula

Mathematics Subject Classification ID

Lagrangian submanifolds; Maslov index (53D12) Geometric quantization (53D50)

Related Items (5)

Asymptotic properties of the quantum representations of the mapping class group ⋮ Geometric quantization of symplectic maps and Witten's asymptotic conjecture ⋮ Asymptotic expansions of the Witten–Reshetikhin–Turaev invariants of mapping tori I ⋮ Asymptotic properties of the quantum representations of the modular group ⋮ Local scaling asymptotics in phase space and time in Berezin–Toeplitz quantization

Cites Work

• Index and dynamics of quantized contact transformations
• Semi-classical properties of geometric quantization with metaplectic correction
• Quantum field theory and the Jones polynomial
• Berezin--Toeplitz operators, a semi-classical approach
• A Lefschetz fixed point formula for elliptic complexes. II: Applications
• The Spectral Theory of Toeplitz Operators. (AM-99)
• Quasimodes and Bohr-Sommerfeld Conditions for the Toeplitz Operators
• Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations

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