Holomorphic curves in loop groups

M. A. Guest; A. N. Pressley

doi:10.1007/BF01466730

Holomorphic curves in loop groups

M. A. Guest^*, A. N. Pressley

^*この研究の対応する著者

研究成果: Article › 査読

5 被引用数 (Scopus)

抄録

It was observed by Atiyah that there is a correspondence between based gauge equivalence classes of SU_n-instantons over S⁴ 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_algSU_n of algebraic loops. We describe a cell decomposition of this parameter space, and compute its complex dimension to be (2 n-1)d.

本文言語	English
ページ（範囲）	511-527
ページ数	17
ジャーナル	Communications in Mathematical Physics
巻	118
号	3
DOI	https://doi.org/10.1007/BF01466730
出版ステータス	Published - 1988 9月
外部発表	はい

ASJC Scopus subject areas

統計物理学および非線形物理学
数理物理学

文献へのアクセス

10.1007/BF01466730

他のファイルとリンク

引用スタイル

@article{a55f0dc8f3ae4765abfb1995ebbff2e8,

title = "Holomorphic curves in loop groups",

abstract = "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.",

author = "Guest, {M. A.} and Pressley, {A. N.}",

year = "1988",

month = sep,

doi = "10.1007/BF01466730",

language = "English",

volume = "118",

pages = "511--527",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "3",

}

TY - JOUR

T1 - Holomorphic curves in loop groups

AU - Guest, M. A.

AU - Pressley, A. N.

PY - 1988/9

Y1 - 1988/9

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=34250092227&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34250092227&partnerID=8YFLogxK

U2 - 10.1007/BF01466730

DO - 10.1007/BF01466730

M3 - Article

AN - SCOPUS:34250092227

SN - 0010-3616

VL - 118

SP - 511

EP - 527

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 3

ER -

Holomorphic curves in loop groups

抄録

ASJC Scopus subject areas

文献へのアクセス

他のファイルとリンク

フィンガープリント

引用スタイル