JournalsjncgVol. 17, No. 1pp. 211–232

Perturbations of principal submodules in the Drury–Arveson space

  • Mohammad Jabbari

    Rutgers University, Piscataway, USA

  • Xiang Tang

    Washington University in St. Louis, USA
Perturbations of principal submodules in the Drury–Arveson space cover
Download PDF

This article is published open access under our Subscribe to Open model.

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.

Cite this article

Mohammad Jabbari, Xiang Tang, Perturbations of principal submodules in the Drury–Arveson space. J. Noncommut. Geom. 17 (2023), no. 1, pp. 211–232

DOI 10.4171/JNCG/469