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  4. The perverse filtration for the hitchin fibration is locally constant

The perverse filtration for the hitchin fibration is locally constant

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sword-2021-05-24T17:41:23.original.xml (130 B)
Original SWORD entry document
Author(s)
de Cataldo, MAA
•
Maulik, D
Date Issued
January 1, 2020
Journal
Pure and Applied Mathematics Quarterly
Publisher
International Press of Boston
Version
Original manuscript
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
http://creativecommons.org/licenses/by-nc-sa/4.0/
Persistent DSpace Link
https://hdl.handle.net/1721.1/135304
DOI of Published Version
https://doi.org/10.4310/PAMQ.2020.v16.n5.a4
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