Virtual classes of parabolic SL2(ℂ)-character varieties
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2020
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González-Prieto Á. Virtual classes of parabolic SL 2 ( C ) -character varieties. Advances in Mathematics 2020;368:107148. https://doi.org/10.1016/j.aim.2020.107148.
Abstract
In this paper, we compute the virtual classes in the Grothendieck ring of algebraic varieties of SL2(ℂ)-character varieties over compact orientable surfaces with parabolic points of semi-simple type. When the parabolic punctures are chosen to be semi-simple non-generic, we show that a new interaction phenomenon appears generating a recursive pattern.