Applications of metaplectic cohomology and global-local contact holonomy
DOI10.1007/s12190-020-01401-zzbMath1503.81048OpenAlexW3045467411MaRDI QIDQ2053120
Publication date: 29 November 2021
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12190-020-01401-z
half-spinor Maslov indexmetaplectic Lie group Mp(2, \(\mathbb{R}\))the metaplectic coadjoint orbit model
Quadratic extensions (11R11) Symplectic and contact topology in high or arbitrary dimension (57R17) Applications of global differential geometry to the sciences (53C80) Geometry and quantization, symplectic methods (81S10) Geodesics in global differential geometry (53C22) Nilpotent and solvable Lie groups (22E25) Spin and Spin({}^c) geometry (53C27) Foliations (differential geometric aspects) (53C12) Calibrations and calibrated geometries (53C38) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Relationships between algebraic curves and physics (14H81) Elliptic curves over local fields (11G07) Quadratic forms over local rings and fields (11E08)
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