ON SOMES CHARACTERISTIC CLASSES OF FLAT BUNDLES IN COMPLEX GEOMETRY

被引：1

作者：

Daniel, Jeremy ^{[1
]}

机构：

[1] Max Planck Inst, Bonn, Germany

来源：

ANNALES DE L INSTITUT FOURIER | 2019年 / 69卷 / 02期

关键词：

harmonic bundles; non-abelian Hodge theory; flat bundles; loop groups; period domains; INVARIANTS;

D O I：

10.5802/aif.3255

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

On a compact Kahler manifold X, any semisimple flat bundle carries a harmonic metric. It can be used to define some characteristic classes of the flat bundle, in the cohomology of X. We show that these cohomology classes come from an infinite-dimensional space, constructed with loop groups, an analogue of the period domains used in Hodge theory.

引用

页码：729 / 751

页数：23

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[2]

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[3]

[Anonymous], 1991, A basic course in algebraic topology

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