Perturbations of principal submodules in the Drury–Arveson space

[摘要] 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.

[学科分类] 神经科学

[关键词] Perturbation;Toeplitz operators;connection;monodromy