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Unitary invariants for Hilbert modules of finite rank

Biswas, Shibananda and Misra, Gadadhar and Putinar, Mihai (2012) Unitary invariants for Hilbert modules of finite rank. In: Journal für die Reine und Angewandte Mathematik (Crelle's Journal), 662 . pp. 165-204.

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Official URL: http://www.degruyter.com/view/j/crll.2012.2012.iss...

Abstract

We associate a sheaf model to a class of Hilbert modules satisfying a natural finiteness condition. It is obtained as the dual to a linear system of Hermitian vector spaces (in the sense of Grothendieck). A refined notion of curvature is derived from this construction leading to a new unitary invariant for the Hilbert module. A division problem with bounds, originating in Douady's privilege, is related to this framework. A series of concrete computations illustrate the abstract concepts of the paper.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Walter de Gruyter GmbH & Co. KG.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 13 Apr 2012 09:07
Last Modified: 13 Apr 2012 09:07
URI: http://eprints.iisc.ernet.in/id/eprint/44273

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