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
  • [1] Geometry of moduli spaces of Higgs bundles
    Biswas, Indranil
    Schumacher, Georg
    COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2006, 14 (04) : 765 - 793
  • [2] Moduli Spaces of Framed G–Higgs Bundles and Symplectic Geometry
    Indranil Biswas
    Marina Logares
    Ana Peón-Nieto
    Communications in Mathematical Physics, 2020, 376 : 1875 - 1908
  • [3] Moduli Spaces of Framed G-Higgs Bundles and Symplectic Geometry
    Biswas, Indranil
    Logares, Marina
    Peon-Nieto, Ana
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2020, 376 (03) : 1875 - 1908
  • [4] Kahler structure on moduli spaces of principal bundles
    Biswas, Indranil
    Schumacher, Georg
    DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2007, 25 (02) : 136 - 146
  • [5] Hyperpolygon spaces and moduli spaces of parabolic Higgs bundles
    Godinho, Leonor
    Mandini, Alessia
    ADVANCES IN MATHEMATICS, 2013, 244 : 465 - 532
  • [6] Real structures on moduli spaces of Higgs bundles
    Baraglia, David
    Schaposnik, Laura P.
    ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, 2016, 20 (03) : 525 - 551
  • [7] Moduli Spaces of Higgs Bundles – Old and New
    Swoboda J.
    Jahresbericht der Deutschen Mathematiker-Vereinigung, 2021, 123 (2) : 65 - 130
  • [8] Generalized Kahler Geometry of Instanton Moduli Spaces
    Bursztyn, Henrique
    Cavalcanti, Gil R.
    Gualtieri, Marco
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2015, 333 (02) : 831 - 860
  • [9] Symplectic Geometry of a Moduli Space of Framed Higgs Bundles
    Biswas, Indranil
    Logares, Marina
    Peon-Nieto, Ana
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2021, 2021 (08) : 5623 - 5650
  • [10] Moduli spaces of Higgs bundles on degenerating Riemann surfaces
    Swoboda, Jan
    ADVANCES IN MATHEMATICS, 2017, 322 : 637 - 681
12345