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arXiv · 1906.05222

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

Ángel González-Prieto
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Abstract

In this paper, we compute the virtual classes in the Grothendieck ring of algebraic varieties of $\mathrm{SL}_2(\mathbb{C})$-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.

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BibTeXRIS

Ángel González-Prieto. 2019-06-12. Virtual classes of parabolic $\mathrm{SL}_2(\mathbb{C})$-character varieties. https://doi.org/10.1016/j.aim.2020.107148

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