학술논문

Perturbations of principal submodules in the Drury-Arveson space
Document Type
Working Paper
Source
Subject
Mathematics - Functional Analysis
Mathematics - Differential Geometry
Mathematics - K-Theory and Homology
Mathematics - Operator Algebras
Language
Abstract
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.