论文标题

Fujiki类$ \ MATHCAL C $流形的Nonabelian Hodge理论

Nonabelian Hodge theory for Fujiki class $\mathcal C$ manifolds

论文作者

Biswas, Indranil, Dumitrescu, Sorin

论文摘要

Nonabelian Hodge对应关系(Corlette-Simpson对应关系),在紧凑的Kähler歧管上的Chern chern类中,Polystable Higgs捆绑包与$ x $上的Chern Chern类中消失,并扩展到Fujiki类$ \ Mathcal c $ cum c $。

The nonabelian Hodge correspondence (Corlette-Simpson correspondence), between the polystable Higgs bundles with vanishing Chern classes on a compact Kähler manifold $X$ and the completely reducible flat connections on $X$, is extended to the Fujiki class $\mathcal C$ manifolds.

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