Harmonic maps and shift-invariant subspaces
(2021) In Monatshefte fur Mathematik 194(4). p.625-656- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/336dd2af-1736-484e-9c26-411e92dbbc11
- author
- Aleman, Alexandru LU ; Pacheco, Rui and Wood, John C.
- organization
- publishing date
- 2021-01-29
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Harmonic maps, Riemann surfaces, Shift-invariant subspaces
- in
- Monatshefte fur Mathematik
- volume
- 194
- issue
- 4
- pages
- 625 - 656
- publisher
- Springer
- external identifiers
-
- scopus:85099961243
- ISSN
- 0026-9255
- DOI
- 10.1007/s00605-021-01516-w
- language
- English
- LU publication?
- yes
- id
- 336dd2af-1736-484e-9c26-411e92dbbc11
- date added to LUP
- 2021-02-08 12:53:18
- date last changed
- 2022-04-27 00:06:37
@article{336dd2af-1736-484e-9c26-411e92dbbc11, abstract = {{<p>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 L<sup>2</sup>(S<sup>1</sup>, C<sup>n</sup>) ; we give a new description of that model.</p>}}, author = {{Aleman, Alexandru and Pacheco, Rui and Wood, John C.}}, issn = {{0026-9255}}, keywords = {{Harmonic maps; Riemann surfaces; Shift-invariant subspaces}}, language = {{eng}}, month = {{01}}, number = {{4}}, pages = {{625--656}}, publisher = {{Springer}}, series = {{Monatshefte fur Mathematik}}, title = {{Harmonic maps and shift-invariant subspaces}}, url = {{http://dx.doi.org/10.1007/s00605-021-01516-w}}, doi = {{10.1007/s00605-021-01516-w}}, volume = {{194}}, year = {{2021}}, }