Arithmetic harmonic analysis on character and quiver varieties II

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××C×, modular forms and multiplicities in tensor products of irreducible characters of finite general linea...

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Bibliographic Details
Published in:Advances in mathematics (New York. 1965) 2013-02, Vol.234, p.85-128
Main Authors: Hausel, Tamás, Letellier, Emmanuel, Rodriguez-Villegas, Fernando
Format: Article
Language:English
Subjects:
Character varieties
Hilbert schemes
Quiver representations
Representations of finite general linear groups
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Summary: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××C×, modular forms and multiplicities in tensor products of irreducible characters of finite general linear groups.
ISSN:0001-8708
1090-2082
DOI:10.1016/j.aim.2012.10.009