论文标题
在2盘歧管的前量化图上
On the prequantisation map for 2-plectic manifolds
论文作者
论文摘要
对于具有整体封闭3型$ω$的歧管$ m $，我们在其总空间上构建了$ pu（h）$ - $ - 捆绑包和lie groupoid，以及在Gerbes的意义上弯曲。如果形式是非分类的，我们将从$（m，ω）$的观察者到上述几何结构的弱对称性，从而给出自然的谎言2-代数准同态，从而概括了Kostant和Souriau的前量化图。
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.
