Perturbations of principal submodules in the Drury-Arveson space
Functional Analysis
2020-11-12 v1 Differential Geometry
K-Theory and Homology
Operator Algebras
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.
Keywords
Cite
@article{arxiv.2011.05395,
title = {Perturbations of principal submodules in the Drury-Arveson space},
author = {Mohammad Jabbari and Xiang Tang},
journal= {arXiv preprint arXiv:2011.05395},
year = {2020}
}