当前位置: X-MOL 学术Math. Z. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
On geometric quantization of $$b^m$$-symplectic manifolds
Mathematische Zeitschrift ( IF 1.0 ) Pub Date : 2020-08-25 , DOI: 10.1007/s00209-020-02590-w
Victor W. Guillemin , Eva Miranda , Jonathan Weitsman

We study the formal geometric quantization of $$b^m$$ -symplectic manifolds equipped with Hamiltonian actions of a torus T with nonzero leading modular weight. The resulting virtual $$T-$$ modules are finite dimensional when m is odd, as in [4]; when m is even, these virtual modules are not finite dimensional, and we compute the asymptotics of the representations for large weight.

中文翻译:

$$b^m$$-辛流形的几何量化

我们研究了 $$b^m$$ -辛流形的形式几何量化,该流形配备了具有非零领先模权重的环面 T 的哈密顿行为。当 m 为奇数时,生成的虚拟 $$T-$$ 模块是有限维的,如 [4] 中所示;当 m 是偶数时,这些虚拟模块不是有限维的,我们计算大权重的表示的渐近性。
更新日期:2020-08-25
down
wechat
bug