Perturbations of principal submodules in the Drury–Arveson space

Mohammad Jabbari; Xiang Tang

doi:10.4171/JNCG/469

Perturbations of principal submodules in the Drury–Arveson space

Mohammad Jabbari
, Xiang Tang

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	211-232
Number of pages	22
Journal	Journal of Noncommutative Geometry
Volume	17
Issue number	1
DOIs	https://doi.org/10.4171/JNCG/469
State	Published - 2023

Keywords

connection
monodromy
Perturbation
Toeplitz operators

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title = "Perturbations of principal submodules in the Drury–Arveson space",

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 = "connection, monodromy, Perturbation, Toeplitz operators",

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year = "2023",

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AB - 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.

KW - connection

KW - monodromy

KW - Perturbation

KW - Toeplitz operators

UR - https://www.scopus.com/pages/publications/85151067517

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DO - 10.4171/JNCG/469

M3 - Article

AN - SCOPUS:85151067517

SN - 1661-6952

VL - 17

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EP - 232

JO - Journal of Noncommutative Geometry

JF - Journal of Noncommutative Geometry

IS - 1

ER -

Perturbations of principal submodules in the Drury–Arveson space

Abstract

Keywords

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