The perverse filtration for the Hitchin fibration is locally constant
arXiv:1808.02235
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 conjecture due to de Cataldo, Hausel and Migliorini in non Abelian Hodge theory.
arXiv comment18 pages; comments are welcome!