Topology of character varieties and representations of quivers

2009/05/21 by Tamás Hausel, Hausel, T., Emmanuel Letellier +3
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.0905.3491

openalex publication_date 2009/05/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In arXiv:0810.2076 we presented a conjecture generalizing the Cauchy formula for Macdonald polynomials. This conjecture encodes the mixed Hodge polynomials of the representation varieties of Riemann surfaces with semi-simple conjugacy classes at the punctures. We proved several results which support this conjecture. Here we announce new results which are consequences of those of arXiv:0810.2076.

Citations

• Geometry of the Moment Map for Representations of Quivers

Related

• Arithmetic harmonic analysis on character and quiver varieties II
• Plethystic identities and mixed Hodge structures of character varieties
• Mixed Hodge polynomials of character varieties
• E-Polynomials of Generic GL_n\rtimes ~-Character Varieties: Unbranched Case
• Pure parts of the mixed Hodge structures of character varieties of indivisible type