Plethystic identities and mixed Hodge structures of character varieties
Algebraic Geometry
2016-03-02 v1 Combinatorics
Representation Theory
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.
Keywords
Cite
@article{arxiv.1603.00193,
title = {Plethystic identities and mixed Hodge structures of character varieties},
author = {Anton Mellit},
journal= {arXiv preprint arXiv:1603.00193},
year = {2016}
}