Character Variety

Character Variety

In the mathematics of moduli theory, given an algebraic, reductive, Lie group and a finitely generated group, the -character variety of is a space of equivalence classes of group homomorphisms

More precisely, acts on by conjugation and two homomorphisms are defined to be equivalent if and only if their orbit closures intersect. This is the weakest equivalence relation on the set of conjugation orbits that yields a Hausdorff space.

Read more about Character Variety:  Formulation, Examples, Variants, Connection To Geometry, Connection To Skein Modules

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