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The Geometric P=W conjecture in the Painlevé cases via plumbing calculus

Published 31 Jan 2020 in math.AG | (2001.11720v1)

Abstract: We use plumbing calculus to prove the homotopy commutativity assertion of the Geometric P=W conjecture in all Painlev\'e cases. We discuss the resulting Mixed Hodge structures on Dolbeault and Betti moduli spaces.

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