### 抜粋

It was observed by Atiyah that there is a correspondence between based gauge equivalence classes of SU_{n}-instantons over S^{4} of charge d on the one hand, and based holomorphic curves of genus zero in ΩSU_{n} 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 Ω_{alg}SU_{n} 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 |
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ページ（範囲） | 511-527 |

ページ数 | 17 |

ジャーナル | Communications in Mathematical Physics |

巻 | 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

## フィンガープリント Holomorphic curves in loop groups' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

## これを引用

Guest, M. A., & Pressley, A. N. (1988). Holomorphic curves in loop groups.

*Communications in Mathematical Physics*,*118*(3), 511-527. https://doi.org/10.1007/BF01466730