Hitchin fibrations on moduli of irregular Higgs bundles and motivic wall-crossing

被引：4
|
作者：
Ivanics, Peter [1 ]
Stipsicz, Andras [2 ]
Szabo, Szilard [1 ]
机构：
[1] Budapest Univ Technol & Econ, Egry Jozsef Utca 1, H-1111 Budapest, Hungary
[2] Renyi Inst Math, Realtanoda Utca 13-15, H-1053 Budapest, Hungary
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2019年 / 223卷 / 09期
基金：
欧盟地平线“2020”; 欧洲研究理事会;
关键词：
Irregular Higgs bundles; Hitchin fibration; Wall crossing; Elliptic fibrations; LANGLANDS DUALITY; MIRROR SYMMETRY; FIBERS;
D O I：
10.1016/j.jpaa.2018.12.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we give a complete description of the Hitchin fibration on all 2-dimensional moduli spaces of rank-2 irregular Higgs bundles with two poles on the projective line. We describe the dependence of the singular fibers of the fibration on the eigenvalues of the Higgs fields, and describe the corresponding motivic wall crossing phenomenon in the parameter space of parabolic weights. (C) 2018 Elsevier B.V. All rights reserved.
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页码：3989 / 4064
页数：76
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