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arXiv · 1810.09714

Motivic theory of representation varieties via Topological Quantum Field Theories

Ángel González-Prieto
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Abstract

In this paper, we use lax monoidal TQFTs as an effective computational method for motivic classes of representation varieties. In particular, we perform the calculation for parabolic $\mathrm{SL}_2(\mathbb{C})$-representation varieties over a closed orientable surface of arbitrary genus and any number of marked points with holonomies of Jordan type. This technique is based on a building method of lax monoidal TQFTs of physical inspiration that generalizes the construction of Gonz\'alez-Prieto, Logares and Mu\~noz.

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Ángel González-Prieto. 2018-10-23. Motivic theory of representation varieties via Topological Quantum Field Theories. https://arxiv.org/abs/1810.09714

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