Rank 1 character varieties of finitely presented groups
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DOI: 10.1007/s10711-017-0281-6
Abstract: Let $$\mathfrak {X}(\Gamma ,G)$$X(Γ,G) be the G-character variety of $$\Gamma $$Γ where G is a rank 1 complex affine algebraic group and $$\Gamma $$Γ is a finitely presentable discrete group. We describe an algorithm, which… read more here.
Keywords: character varieties; finitely presented; rank character; varieties finitely ... See more keywords
INTERSECTION COHOMOLOGY OF RANK 2 CHARACTER VARIETIES OF SURFACE GROUPS
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DOI: 10.1017/s1474748021000487
Abstract: For $G = \mathrm {GL}_2, \mathrm {SL}_2, \mathrm {PGL}_2$ we compute the intersection E-polynomials and the intersection Poincaré polynomials of the G-character variety of a compact Riemann surface C and of the moduli space of… read more here.
Keywords: intersection; character varieties; varieties surface; rank character ... See more keywords