全纯向量丛与Ward孤子

Holomorphic Vector Bundles and Ward Solitons

Ward利用亚纯标架具体给出了有限能量的1-uniton对应的全纯向量丛,该向量丛的底空间为有理直纹面.Ward所用的亚纯标架的奇异结构与1-uniton的广义解的奇异结构相对应.该文推广了Ward的方法,具体给出了一些Ward孤子对应的全纯向量丛,这些Ward孤子的广义解仅具有单极点或仅具有一个二阶极点.

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.