Cyclic Higgs bundles and the affine Toda equations

被引：20

作者：

Baraglia, David ^{[1
]}

机构：

[1] Univ Adelaide, Sch Math Sci, Adelaide, SA 5005, Australia

来源：

GEOMETRIAE DEDICATA | 2015年 / 174卷 / 01期

关键词：

Higgs bundles; Toda; Cyclic; Harmonic maps; SYSTEMS; SURFACES;

D O I：

10.1007/s10711-014-0003-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a class of Higgs bundles called cyclic which lie in the Hitchin component of representations of a compact Riemann surface into the split real form of a simple Lie group. We then prove that such Higgs bundles correspond to a class of solutions to the affine Toda equations. This relationship is further explained in terms of lifts of harmonic maps.

引用

页码：25 / 42

页数：18

共 17 条

[1] GEOMETRY OF HIGGS AND TODA FIELDS ON RIEMANN SURFACES [J].