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arXiv · 0905.3491

Topology of character varieties and representations of quivers

T. Hausel·E. Letellier·F. Rodriguez-Villegas
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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.

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T. Hausel, E. Letellier, F. Rodriguez-Villegas. 2009-05-21. Topology of character varieties and representations of quivers. https://arxiv.org/abs/0905.3491

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