Holomorphic curves in loop groups

M. A. Guest, A. N. Pressley

研究成果: Article

5 引用 (Scopus)

抜粋

It was observed by Atiyah that there is a correspondence between based gauge equivalence classes of SUn-instantons over S4 of charge d on the one hand, and based holomorphic curves of genus zero in ΩSUn of degree d on the other hand. In this paper we study the parameter space of such holomorphic curves which have the additional property that they lie entirely in the subgroup ΩalgSUn of algebraic loops. We describe a cell decomposition of this parameter space, and compute its complex dimension to be (2 n-1)d.

元の言語English
ページ(範囲)511-527
ページ数17
ジャーナルCommunications in Mathematical Physics
118
発行部数3
DOI
出版物ステータスPublished - 1988 9 1
外部発表Yes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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