The perverse filtration for the hitchin fibration is locally constant

Author(s)
de Cataldo, MAA; Maulik, D
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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.
Date issued
2020-01-01
URI
https://hdl.handle.net/1721.1/135304
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Pure and Applied Mathematics Quarterly
Publisher
International Press of Boston
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