This dissertation concerns a particular basis for the coordinate ring of the character variety of a surface. Let G be a connected reductive linear algebraic group, and let S be a surface whose fundamental group pi is a free group. Then the

Functional analysis is the branch of mathematics where vector spaces and operators on them are in focus. In linear algebra, the discussion is about ﬁnite dimensional vector spaces over any ﬁeld of scalars. The functions are linear mappings which can be viewed

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