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20132023
most citedHitchin fibrations, abelian surfaces, and the P=W conjecture

20 citations · 138 across the 26 of their papers we have counts for

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math.AG2019★ 20 cited

Hitchin fibrations, abelian surfaces, and the P=W conjecture

Mark Andrea A. de Cataldo, Davesh Maulik, Junliang Shen

We study the topology of Hitchin fibrations via abelian surfaces. We establish the P=W conjecture for genus curves and arbitrary rank. In higher genus and arbitrary rank, we pr…

math.AG2019★ 9 cited

P=W for Lagrangian fibrations and degenerations of hyper-Kähler manifolds

Andrew Harder, Zhiyuan Li, Junliang Shen +1

We identify the perverse filtration of a Lagrangian fibration with the monodromy weight filtration of a maximally unipotent degeneration of compact hyper-Kähler manifolds.