The perverse filtration for the hitchin fibration is locally constant

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.

Bibliographic Details
Main Authors: de Cataldo, MAA, Maulik, D
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: International Press of Boston 2021
Online Access:https://hdl.handle.net/1721.1/135304