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In this paper, we compute the virtual classes in the Grothendieck ring ofalgebraic varieties of $\mathrm{SL}_2(\mathbb{C})$-character varieties overcompact orientable surfaces with parabolic points of semi-simple type. When theparabolic punctures are chosen to be semi-simple non-generic, we show that anew interaction phenomenon appears generating a recursive pattern.

Virtual classes of parabolic $\mathrm{SL}_2(\mathbb{C})$-character varieties