Special Kahler geometry on the moduli spaces of Higgs bundles

被引：0
作者：
Huang, Zhenxi [1 ]
机构：
[1] Sichuan Univ, Coll Math, Chengdu, Peoples R China
来源：
TOPOLOGY AND ITS APPLICATIONS | 2021年 / 301卷
关键词：
Special Kahler geometry; Hitchin system; Higgs bundles; Topological recursion; CURVES;
D O I：
10.1016/j.topol.2020.107493
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the special Kahler geometry of the base of the Hitchin integrable system in terms of spectral curves. We give explicit formulas of the metric for some special cases by using the affine coordinates introduced by Freed in 1999. We also find that the Taylor expansion of the special Kahler metric about any point in the base may be computed by topological recursion. (c) 2020 Elsevier B.V. All rights reserved.
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