Existence of approximate Hermitian-Einstein structures on semi-stable Higgs bundles

被引：34
|
作者：
Li, Jiayu [1 ,2 ]
Zhang, Xi [1 ]
机构：
[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China
[2] Chinese Acad Sci, AMSS, Beijing 100080, Peoples R China
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2015年 / 52卷 / 3-4期
关键词：
VECTOR-BUNDLES; DIMENSIONAL REDUCTION; KAHLER-MANIFOLDS; RIEMANN SURFACE; METRICS; CONNECTIONS; CURVATURE;
D O I：
10.1007/s00526-014-0733-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, using Donaldson's heat flow, we show that the semi-stability of a Higgs bundle over a compact Kahler manifold implies the existence of approximate Hermitian-Einstein structure.
引用
收藏
页码：783 / 795
页数：13
相关论文
共 50 条
  • [31] Polystable Parabolic Principal G-Bundles and Hermitian-Einstein Connections
    Biswas, Indranil
    Dey, Arijit
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2013, 56 (01): : 44 - 54
  • [32] Approximate Hermitian-Yang-Mills structures on semistable principal Higgs bundles
    Bruzzo, Ugo
    Grana Otero, Beatriz
    ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2015, 47 (01) : 1 - 11
  • [33] HERMITIAN-EINSTEIN CONNECTIONS ON PRINCIPAL BUNDLES OVER FLAT AFFINE MANIFOLDS
    Biswas, Indranil
    Loftin, John
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2012, 23 (04)
  • [34] Relative log-symplectic structure on a semi-stable degeneration of moduli of Higgs bundles
    Das, Sourav
    ADVANCES IN MATHEMATICS, 2022, 410
  • [35] Approximate Hermitian-Yang-Mills structures and semistability for Higgs bundles II: Higgs sheaves and admissible structures
    Cardona, S. A. H.
    ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2013, 44 (04) : 455 - 469
  • [36] The C*-action and stratifications of the moduli space of semi-stable Higgs bundles of rank 5
    Anton-Sancho, Alvaro
    AIMS MATHEMATICS, 2025, 10 (02): : 3428 - 3456
  • [37] Einstein-Hermitian connection on twisted Higgs bundles
    Biswas, Indranil
    Gomez, Tomas L.
    Hoffmann, Norbert
    Hogadi, Amit
    COMPTES RENDUS MATHEMATIQUE, 2010, 348 (17-18) : 981 - 983
  • [38] Semi-stable vector bundles on fibred varieties
    Halic M.
    European Journal of Mathematics, 2018, 4 (4) : 1297 - 1339
  • [39] Semi-stable Higgs sheaves and Bogomolov type inequality
    Li, Jiayu
    Zhang, Chuanjing
    Zhang, Xi
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2017, 56 (03)
  • [40] Semi-stable quiver bundles over Gauduchon manifolds
    Chen, Dan-Ni
    Cheng, Jing
    Shen, Xiao
    Zhang, Pan
    AIMS MATHEMATICS, 2023, 8 (05): : 11546 - 11556
12345