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arxiv: 1109.5202 · v1 · pith:4HO4WSSWnew · submitted 2011-09-23 · 🧮 math.RT · math.AG

Arithmetic harmonic analysis on character and quiver varieties II

classification 🧮 math.RT math.AG
keywords charactergroupsquiversurfacesvarietiesanalysisarithmeticcharacters
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We study connections between the topology of generic character varieties of fundamental groups of punctured Riemann surfaces, Macdonald polynomials, quiver representations, Hilbert schemes on surfaces, modular forms and multiplicities in tensor products of irreducible characters of finite general linear groups.

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