NDLI: Holomorphic Vector Bundles Corresponding to some Soliton Solutions of the Ward Equation

Content Provider	Springer Nature Link
Author	Zhu, Xiujuan
Copyright Year	2015
Abstract	Holomorphic vector bundles corresponding to the static soliton solution of the Ward equation were explicitly presented by Ward in terms of a meromorphic framing. Bundles (for simplicity, “bundle” is to be taken throughout to mean “holomorphic vector bundle”) corresponding to all Ward k-soliton solutions whose extended solutions have only simple poles, and some Ward 2-soliton solutions whose extended solutions have only a second-order pole, were explicitly described by us in a previous paper. In this paper, we go on to present some bundles corresponding to soliton-antisoliton solutions of the Ward equation, and Ward 3-soliton solutions whose extended solutions have a simple pole and a double pole. To give some more interpretation of the bundles, we study the second Chern number of the corresponded bundles and find that it can be obtained directly from the patching matrices. We also point out some information about bundles corresponding to Ward soliton solutions whose extended solutions have general pole data at the end of the paper.
Ending Page	11
Page Count	11
Starting Page	1
File Format	PDF
ISSN	13850172
e-ISSN	15729656
Journal	Mathematical Physics, Analysis and Geometry
Issue Number	1
Volume Number	18
Language	English
Publisher	Springer Netherlands
Publisher Date	2015-08-06
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Geometry Soliton solution Holomorphic bundles and generalizations Soliton-antisoliton Twistor theory, double fibrations Jumping line Theoretical, Mathematical and Computational Physics Analysis Holomorphic vector bundle Group Theory and Generalizations Meromorphic framing Applications of Mathematics
Content Type	Text
Resource Type	Article
Subject	Mathematical Physics Geometry and Topology

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