论文标题
Berezin-Toeplitz量化表示的几何结构
A geometric construction of representations of the Berezin-Toeplitz quantization
论文作者
论文摘要
对于配备有量价线的捆绑包$ l $的kähler歧管$ x $，我们为berezin-toeplitz变形量化量化代数$（c^\ infty（x）[[\ hbar]]，\ star_ {bt}）关键的想法是使用峰值部分适当地将希尔伯特空间定位$ h^{0} \ left（x，x，l^{\ otimes m} \ right）$周围$ z_ {0} $在大容量限制中。
For a Kähler manifold $X$ equipped with a prequantum line bundle $L$, we give a geometric construction of a family of representations of the Berezin-Toeplitz deformation quantization algebra $(C^\infty(X)[[\hbar]],\star_{BT})$ parametrized by points $z_0 \in X$. The key idea is to use peak sections to suitably localize the Hilbert spaces $H^{0}\left(X,L^{\otimes m}\right)$ around $z_{0}$ in the large volume limit.
