Arithmetic of character varieties of free groups

DOI10.1142/S0129167X15501001zbMath1346.14115arXiv1402.6923OpenAlexW2963006358MaRDI QIDQ2788768

Markus Reineke, Sergey Mozgovoy

Publication date: 22 February 2016

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.6923

zbMATH Keywords

free groupHall algebracharacter varietyE-polynomial

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Rational points (14G05) Algebraic moduli problems, moduli of vector bundles (14D20)

Related Items

Intersection cohomology of moduli spaces of sheaves on surfaces ⋮ Generating series for the E‐polynomials of GL(n,C)$GL(n,{\mathbb {C}})$‐character varieties ⋮ INTERSECTION COHOMOLOGY OF RANK 2 CHARACTER VARIETIES OF SURFACE GROUPS ⋮ On Hodge polynomials of singular character varieties ⋮ Serre polynomials of \(\mathrm{SL}_n\)- and \(\mathrm{PGL}_n\)-character varieties of free groups

Cites Work

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• The topology of moduli spaces of free group representations
• E-polynomial of SL₂(ℂ)-character varieties of free groups
• Mapping F_1-land:An overview of geometries over the field with one element