| Sumario: | We find the (Formula presented.)-polynomials of a family of twisted character varieties (Formula presented.) of Riemann surfaces by proving they have polynomial count, and applying a result of Katz regarding the counting functions. To count the number of (Formula presented.)-points of these varieties as a function of (Formula presented.), we invoke a formula from Frobenius. Our calculations make use of the character tables of (Formula presented.), partially computed by Lehrer, and a result of Hanlon on the Möbius function of a fixed subposet of set-partitions. We compute the Euler characteristic of the (Formula presented.) with these polynomials, and show they are connected. © 2015, Springer-Verlag Berlin Heidelberg.
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