We prove that the perverse Leray filtration for the Hitchin morphism is locally constant in families, thus providing some evidence towards the validity of the $P = W$ conjecture due to de Cataldo, Hausel and Migliorini in non Abelian Hodge theory.

中文翻译：

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Hitchin纤维的有害过滤是局部恒定的

我们证明了针对Hitchin形态的逆Leray滤波在家庭中是局部恒定的，因此为非阿贝尔霍奇理论中的de Cataldo，Hausel和Migliorini造成的$ P = W $猜想的有效性提供了一些证据。