Topology of character varieties of abelian groups

DOI10.1016/j.topol.2014.05.009zbMath1300.14045arXiv1301.7616OpenAlexW2022690569MaRDI QIDQ2250122

Sean Lawton, Carlos A. A. Florentino

Publication date: 4 July 2014

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.7616

zbMATH Keywords

abelian groupscharacter varietiesGIT quotient

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Semisimple Lie groups and their representations (22E46) Topology of real algebraic varieties (14P25) Affine algebraic groups, hyperalgebra constructions (14L17)

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Bad representations and homotopy of character varieties ⋮ Plethystic Exponential Calculus and Characteristic Polynomials of Permutations ⋮ Equivariant Hodge-Deligne polynomials of symmetric products of algebraic groups ⋮ Stratified hyperkähler spaces from semisimple Lie algebras ⋮ Poincaré series of character varieties for nilpotent groups ⋮ Generating series for the E‐polynomials of GL(n,C)$GL(n,{\mathbb {C}})$‐character varieties ⋮ Geometry of \(\mathrm{SU}(3)\)-character varieties of torus knots ⋮ Invariants of pairs in 𝑆𝐿(4,ℂ) and 𝕊𝕌(3,1) ⋮ Flawed groups and the topology of character varieties ⋮ On Hodge polynomials of singular character varieties ⋮ Serre polynomials of \(\mathrm{SL}_n\)- and \(\mathrm{PGL}_n\)-character varieties of free groups ⋮ Fundamental groups of character varieties: surfaces and tori ⋮ Rank 1 character varieties of finitely presented groups ⋮ Character varieties of abelian groups ⋮ The homotopy groups of a homotopy group completion ⋮ Character varieties of virtually nilpotent Kähler groups and \(G\)-Higgs bundles ⋮ Hodge-Deligne polynomials of character varieties of free abelian groups ⋮ The mapping class group action on -character varieties ⋮ Character varieties for real forms ⋮ The topology of nilpotent representations in reductive groups and their maximal compact subgroups.

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