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.
引用
收藏
页数：6
相关论文
共 50 条
  • [41] ENDS OF THE MODULI SPACE OF HIGGS BUNDLES
    Mazzeo, Rafe
    Swoboda, Jan
    Weiss, Hartmut
    Witt, Frederik
    DUKE MATHEMATICAL JOURNAL, 2016, 165 (12) : 2227 - 2271
  • [42] Stratifications on the moduli space of Higgs bundles
    Gothen, Peter B.
    Zuniga-Rojas, Ronald A.
    PORTUGALIAE MATHEMATICA, 2017, 74 (02) : 127 - 148
  • [43] On the Kirwan map for moduli of Higgs bundles
    Cliff, Emily
    Nevins, Thomas
    Shen, Shiyu
    ALGEBRAIC GEOMETRY, 2021, 8 (04): : 389 - 404
  • [44] Stacky dualities for the moduli of Higgs bundles
    Derryberry, Richard
    ADVANCES IN MATHEMATICS, 2020, 368
  • [45] On the motives of moduli of chains and Higgs bundles
    Garcia-Prada, Oscar
    Heinloth, Jochen
    Schmitt, Alexander
    JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2014, 16 (12) : 2617 - 2668
  • [46] Variation of moduli of parabolic Higgs bundles
    Thaddeus, M
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2002, 547 : 1 - 14
  • [47] THE GEOMETRY OF A MODULI SPACE OF BUNDLES
    Teleman, Andrei
    REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES, 2020, 65 (03): : 369 - 397
  • [48] Perturbative Corrections to Kahler Moduli Spaces
    Halverson, James
    Jockers, Hans
    Lapan, Joshua M.
    Morrison, David R.
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2015, 333 (03) : 1563 - 1584
  • [49] Mirror symmetry for moduli spaces of Higgs bundles via p-adic integration
    Groechenig, Michael
    Wyss, Dimitri
    Ziegler, Paul
    INVENTIONES MATHEMATICAE, 2020, 221 (02) : 505 - 596
  • [50] ON MODULI SPACES OF GRADED BUNDLES
    CZYZ, J
    LETTERS IN MATHEMATICAL PHYSICS, 1985, 10 (04) : 301 - 306
12345