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arXiv · 2011.05395

Perturbations of principal submodules in the Drury-Arveson space

Mohammad Jabbari·Xiang Tang
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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.

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BibTeXRIS

Mohammad Jabbari, Xiang Tang. 2020-11-10. Perturbations of principal submodules in the Drury-Arveson space. https://arxiv.org/abs/2011.05395

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