In this paper, we prove that for the oper stratification of the de Rham moduli space \(M_{\mathrm {dR}}(X,r)\), the closed oper stratum is the unique minimal stratum with minimal dimension \(r^2(g-1)+g+1\), and the open dense stratum consisting of irreducible flat bundles with stable underlying vector bundles is the unique maximal stratum.

中文翻译：

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辛普森过滤和手术层猜想

在本文中，我们证明了对于De Rham模空间\（M _ {\ mathrm {dR}}（X，r）\）的算子分层，闭合算子层是具有最小维\（r ^ 2（g-1）+ g + 1 \），并且由不可约的平坦束和稳定的基础矢量束组成的开放密集层是唯一的最大层。