On the Prequantisation Map for 2-Plectic Manifolds

被引：0
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作者：
Gabriel Sevestre
Tilmann Wurzbacher
机构：
[1] Université de Lorraine et C.N.R.S.,Institut Élie Cartan Lorraine
来源：
Mathematical Physics, Analysis and Geometry | 2021年 / 24卷
关键词：
Prequantisation; Multisymplectic geometry; Geometrisation of integral three-forms; Multiplicative vector fields; Primary: 58H05; 53C08; 53D50; Secondary: 53D05;
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摘要：
For a manifold M with an integral closed 3-form ω, we construct a PU(H)-bundle and a Lie groupoid over its total space, together with a curving in the sense of gerbes. If the form is non-degenerate, we furthermore give a natural Lie 2-algebra quasi-isomorphism from the observables of (M, ω) to the weak symmetries of the above geometric structure, generalising the prequantisation map of Kostant and Souriau.
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