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• W2947389715 endingPage "103480" @default.
• W2947389715 startingPage "103480" @default.
• W2947389715 abstract "We adapt the framework of geometric quantization to the polysymplectic setting. Considering prequantization as the extension of symmetries from an underlying polysymplectic manifold to the space of sections of a Hermitian vector bundle, a natural definition of prequantum vector bundle is obtained which incorporates in an essential way the action of the space of coefficients. We define quantization with respect to a polarization and to a spin$^text{c}$ structure. In the presence of a complex polarization, it is shown that the polysymplectic Guillemin-Sternberg conjecture is false. We conclude with potential extensions and applications." @default.
• W2947389715 created "2019-06-07" @default.
• W2947389715 creator A5024710366 @default.
• W2947389715 date "2019-11-01" @default.
• W2947389715 modified "2023-09-24" @default.
• W2947389715 title "Quantization of polysymplectic manifolds" @default.
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• W2947389715 doi "https://doi.org/10.1016/j.geomphys.2019.103480" @default.
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