Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (4): 1022-1035.

• Articles • Previous Articles     Next Articles

Holomorphic Vector Bundles and Ward Solitons

 ZHU Xiu-Juan   

  1. School of Mathematics and Information Technology, Jiangsu Institute of Education, Nanjing 210013
  • Received:2009-03-04 Revised:2010-05-18 Online:2011-08-25 Published:2011-08-25
  • Supported by:

    国家自然科学基金(10671171)和江苏省自然科学基金(10KJD110006)资助

Abstract:

The holomorphic vector bundle on the rational ruled surface corresponding to the finite-action 1-uniton was explicitly described by Ward in terms of a meromorphic framing, which has a singularity structure corresponding to that of the 1-uniton extended solution. In this paper, the author generalizes Ward's method to give explicitly the holomorphic bundle corresponding to all Ward solitons whose extended solutions have only simple poles and some Ward solitons  whose extended solutions have a second-order pole.

Key words: Ward solitons, Extended solutions, Meromorphic framing, Rational ruled surface, Pole data

CLC Number: 

  • 32L05
Trendmd