Aleman, A, Pacheco, R and Wood, JC orcid.org/0000-0003-0024-4673 (2021) Harmonic maps and shift-invariant subspaces. Monatshefte für Mathematik, 194 (4). pp. 625-656. ISSN 0026-9255
Abstract
With the help of operator-theoretic methods, we derive new and powerful criteria for finiteness of the uniton number for a harmonic map from a Riemann surface to the unitary group U(n). These use the Grassmannian model where harmonic maps are represented by families of shift-invariant subspaces of L2(S1,Cn); we give a new description of that model.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © The Author(s), under exclusive licence to Springer-Verlag GmbH, AT part of Springer Nature 2021. This is an author produced version of an article published in Monatshefte für Mathematik. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Harmonic maps; Riemann surfaces; Shift-invariant subspaces |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 23 Feb 2021 13:37 |
Last Modified: | 16 Jun 2022 08:52 |
Status: | Published |
Publisher: | Springer |
Identification Number: | 10.1007/s00605-021-01516-w |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:171351 |