NONABELIAN HODGE THEORY FOR FUJIKI CLASS C MANIFOLDS

被引：0

作者：

Biswas, Indranil ^{[1
]}

Dumitrescu, Sorin ^{[2
]}

机构：

[1] Tata Inst Fundamental Res, Sch Math, Homi Bhabha Rd, Mumbai 400005, India

[2] Univ Cote DAzur, CNRS, LJAD, Nice, France

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 151卷 / 05期

关键词：

Nonabelian Hodge theory; flat connection; Higgs bundle; Fujiki class C manifold; FUNDAMENTAL GROUP; REPRESENTATIONS; BUNDLES; SPACES; MODULI;

D O I：

10.1090/proc/16281

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The nonabelian Hodge correspondence (also known as the Corlette-Simpson correspondence), between the polystable Higgs bundles with vanish-ing Chern classes on a compact Ka center dot hler manifold X and the completely re-ducible flat connections on X, is extended to the Fujiki class C manifolds.

引用

页码：1937 / 1948

页数：12

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