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Nonabelian Hodge theory for Fujiki class $\mathcal C$ manifolds (2006.09055v2)
Published 16 Jun 2020 in math.AG and math.CV
Abstract: The nonabelian Hodge correspondence (Corlette-Simpson correspondence), between the polystable Higgs bundles with vanishing Chern classes on a compact K\"ahler manifold $X$ and the completely reducible flat connections on $X$, is extended to the Fujiki class $\mathcal C$ manifolds.
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