Arithmetic harmonic analysis on character and quiver varieties II

T. Hausel, E. Letellier, F. Rodríguez Villegas, Advances in Mathematics 234 (2013) 85–128.

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Abstract
We study connections between the topology of generic character varieties of fundamental groups of punctured Riemann surfaces, Macdonald polynomials, quiver representations, Hilbert schemes on Cx × Cx, modular forms and multiplicities in tensor products of irreducible characters of finite general linear groups.
Publishing Year
Date Published
2013-02-15
Journal Title
Advances in Mathematics
Acknowledgement
During the preparation of this paper TH was supported by a Royal Society University Research Fellowship at the University of Oxford. EL was supported by ANR-09-JCJC-0102-01. FRV was supported by NSF grant DMS-0200605, an FRA from the University of Texas at Austin, EPSRC grant EP/G027110/1, Visiting Fellowships at All Souls and Wadham Colleges in Oxford and a Research Scholarship from the Clay Mathematical Institute.
Volume
234
Page
85 - 128
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Hausel T, Letellier E, Rodríguez Villegas F. Arithmetic harmonic analysis on character and quiver varieties II. Advances in Mathematics. 2013;234:85-128. doi:10.1016/j.aim.2012.10.009
Hausel, T., Letellier, E., & Rodríguez Villegas, F. (2013). Arithmetic harmonic analysis on character and quiver varieties II. Advances in Mathematics, 234, 85–128. https://doi.org/10.1016/j.aim.2012.10.009
Hausel, Tamas, Emmanuel Letellier, and Fernando Rodríguez Villegas. “Arithmetic Harmonic Analysis on Character and Quiver Varieties II.” Advances in Mathematics 234 (2013): 85–128. https://doi.org/10.1016/j.aim.2012.10.009.
T. Hausel, E. Letellier, and F. Rodríguez Villegas, “Arithmetic harmonic analysis on character and quiver varieties II,” Advances in Mathematics, vol. 234, pp. 85–128, 2013.
Hausel T, Letellier E, Rodríguez Villegas F. 2013. Arithmetic harmonic analysis on character and quiver varieties II. Advances in Mathematics. 234, 85–128.
Hausel, Tamas, et al. “Arithmetic Harmonic Analysis on Character and Quiver Varieties II.” Advances in Mathematics, vol. 234, Academic Press, 2013, pp. 85–128, doi:10.1016/j.aim.2012.10.009.

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