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arXiv · 1808.02235

The perverse filtration for the Hitchin fibration is locally constant

Mark Andrea A. de Cataldo·Davesh Maulik
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Abstract

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.

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Mark Andrea A. de Cataldo, Davesh Maulik. 2018-08-07. The perverse filtration for the Hitchin fibration is locally constant. https://arxiv.org/abs/1808.02235

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