Spinc, Mpc and Symplectic Dirac Operators

DOI10.1007/978-3-0348-0645-9_2zbMath1403.53064OpenAlexW1779528851MaRDI QIDQ5498842

Simone Gutt, Michel Cahen

Publication date: 11 February 2015

Published in: Geometric Methods in Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0645-9_2

zbMATH Keywords

Dirac operatorssymplectic spinors\(\mathrm{Mp}^c\) structures

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Geometry and quantization, symplectic methods (81S10) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (2)

The symplectic Fueter-Sce theorem ⋮ On \(Mp^{\operatorname{c}}\)-structures and symplectic Dirac operators

Cites Work

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• Universal metaplectic structures and geometric quantization
• Basic properties of symplectic Dirac operators
• The Dirac operator on symplectic spinors
• The heat kernel Lefschetz fixed point formula for the spin-c dirac operator
• Introduction to symplectic Dirac operators
• The metaplectic representation, 𝑀𝑝^{𝑐} structures and geometric quantization

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