论文标题
Drury-Arveson空间中主要的子模型的扰动
Perturbations of principal submodules in the Drury-Arveson space
论文作者
论文摘要
我们研究了Drury-Arveson空间中主要子模型扰动中的几何形状。我们表明,扰动会引起光滑的希尔伯特空间的矢量束,这些空间配备了天然的Hermitian连接。我们计算相关的平行运输算子,并探索单片的性质。
We study the geometry in the perturbations of principal submodules in the Drury-Arveson space. We show that the perturbations give rise to smooth vector bundles of Hilbert spaces which are equipped with natural Hermitian connections. We compute the associated parallel transport operators and explore properties of the monodromy.