Plethystic identities and mixed Hodge structures of character varieties

2016/03/01 by Anton Mellit, Mellit, Anton · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1603.00193

Abstract

I demonstrate how certain identities for Macdonald's polynomials established by Garsia, Haiman and Tesler, together with the conjecture of Hausel, Letellier and Villegas imply explicit relations between mixed Hodge polynomials of different character varieties.

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