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We study connections between the topology of generic character varieties of fundamental groups of punctured Riemann surfaces, Macdonald polynomials, quiver representations, Hilbert schemes on C-x x C-x, modular forms and multiplicities in tensor products of irreducible characters of finite general linear groups. (C) 2012 Elsevier Inc. All rights reserved.
Maryna Viazovska, Matthew De Courcy-Ireland, Maria Margarethe Dostert