Varieties of characters

DOI10.1007/s10468-017-9679-yzbMath1400.14123arXiv1604.02164OpenAlexW2339304079MaRDI QIDQ1678457

Adam S. Sikora, Sean Lawton

Publication date: 17 November 2017

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.02164

zbMATH Keywords

character varietytrace varietyvariety of characters

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Group actions on varieties or schemes (quotients) (14L30) Algebraic moduli problems, moduli of vector bundles (14D20)

Related Items (7)

Bad representations and homotopy of character varieties ⋮ Motive of the \(\mathrm{SL}_4\)-character variety of torus knots ⋮ Representation varieties of twisted Hopf links ⋮ Manifolds of Lie-group-valued cocycles and discrete cohomology ⋮ Rank 1 character varieties of finitely presented groups ⋮ Representation variety for the rank one affine group ⋮ Virtual classes of representation varieties of upper triangular matrices via topological quantum field theories

Cites Work

• Generating sets for coordinate rings of character varieties
• \(\mathrm{SO}(2n, \mathbb{C})\)-character varieties are not varieties of characters
• Supersymmetric index in four-dimensional gauge theories
• Varieties of group representations and splittings of 3-manifolds
• Minimal affine coordinates for SL\((3,\mathbb C)\) character varieties of free groups
• Electric-magnetic duality and the geometric Langlands program
• On deformations of \(F_n\) in compact Lie groups
• Notes on Lie algebras.
• Bohr-Sommerfeld orbits in the moduli space of flat connections and the Verlinde dimension formula
• The invariant theory of \(n\times n\) matrices
• On Culler-Shalen seminorms and Dehn filling
• Arithmetic lattices and commensurator according to G. A. Margulis
• Plane curves associated to character varieties of 3-manifolds
• Moduli of representations of the fundamental group of a smooth projective variety. I
• Rings of \(SL_2(\mathbb{C})\)-characters and the Kauffman bracket skein module
• On representation varieties of Artin groups, projective arrangements and the fundamental groups of smooth complex algebraic varieties
• Moduli of representations of the fundamental group of a smooth projective variety. II
• On skein algebras and \(Sl_2(\mathbb{C})\)-character varieties
• Singularities of free group character varieties
• Motivic degree zero Donaldson-Thomas invariants
• Character varieties of abelian groups
• \(G\)-character varieties for \(G =\mathrm{SO}(n,\mathbb{C})\) and other not simply connected groups
• 𝑆𝐿_{𝑛}-character varieties as spaces of graphs
• Character varieties
• Varieties of representations of finitely generated groups
• The Self-Duality Equations on a Riemann Surface
• The classification of real projective structures on compact surfaces
• Almost commuting elements in compact Lie groups
• Homotopy groups of free group character varieties
• The Yang-Mills equations over Riemann surfaces
• 𝑆𝐿(2) Representations of Finitely Presented Groups
• The deformation theory of representations of fundamental groups of compact Kähler manifolds
• An intersection theory count of the \(\text{SL}_2({\mathbb C})\)-representations of the fundamental group of a \(3\)-manifold
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Varieties of characters