Integrable systems and Special Kahler metrics

被引：0
作者：
Hitchin, Nigel [1 ]
机构：
[1] Univ Oxford, Math Inst, Woodstock Rd, Oxford OX2 6GG, England
来源：
EMS SURVEYS IN MATHEMATICAL SCIENCES | 2021年 / 8卷 / 1-2期
基金：
英国工程与自然科学研究理事会;
关键词：
Integrable system; Higgs bundle; Special Kahler; GEOMETRY;
D O I：
10.4171/EMSS/46
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We describe the Special Kahler structure on the base of the so-called Hitchin system in terms of the geometry of the space of spectral curves. It yields a simple formula for the Kahler potential. This extends to the case of a singular spectral curve and we show that this defines the Special Kahler structure on certain natural integrable subsystems. Examples include the extreme case where the metric is flat.
引用
收藏
页码：163 / 178
页数：16
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