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Perverse filtrations, Hilbert schemes, and the P=W conjecture for parabolic Higgs bundles by Shen, Junliang; Zhang, Zili is a scholarly article available to read on EtoBox.

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We prove de Cataldo-Hausel-Migliorini's P=W conjecture in arbitrary rank for parabolic Higgs bundles labeled by the affine Dynkin diagrams $\tilde{A}_0$, $\tilde{D}_4$, $\tilde{E}_6$, $\tilde{E}_7$, and $\tilde{E}_8$. Our proof relies on the study of the tautological classes on the Hilbert scheme of points on an elliptic surface with respect to the perverse filtration.

Author

Shen, Junliang; Zhang, Zili

Published

2018

Language

EN