Volume 1, issue 1 (1997)

Download this article
For printing
Recent Issues

Volume 20
Issue 4, 1807–2438
Issue 3, 1257–1806
Issue 2, 629–1255
Issue 1, 1–627

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Subscriptions
Author Index
To Appear
Contacts
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Ward's solitons

Christopher Anand

Geometry & Topology 1 (1997) 9–20

arXiv: math.DG/9707234

Abstract

Using the ‘Riemann Problem with zeros’ method, Ward has constructed exact solutions to a (2 + 1)–dimensional integrable Chiral Model, which exhibit solitons with nontrivial scattering. We give a correspondence between what we conjecture to be all pure soliton solutions and certain holomorphic vector bundles on a compact surface.

Keywords
integrable system, chiral field, sigma model, soliton, monad, uniton, harmonic map
Mathematical Subject Classification
Secondary: 58F07
References
Forward citations
Publication
Received: 4 December 1996
Revised: 16 May 1997
Published: 14 July 1997
Proposed: Simon Donaldson
Seconded: Frances Kirwan, Peter Kronheimer
Authors
Christopher Anand
Department of Pure Mathematics and Mathematical Statistics
University of Cambridge
16 Mill Lane
Cambridge
CB2 1SB
United Kingdom