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arXiv · 1709.05724

A lax monoidal Topological Quantum Field Theory for representation varieties

Ángel González-Prieto·Marina Logares·Vicente Muñoz
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Abstract

We construct a lax monoidal Topological Quantum Field Theory that computes Deligne-Hodge polynomials of representation varieties of the fundamental group of any closed manifold into any complex algebraic group $G$. As byproduct, we obtain formulas for these polynomials in terms of homomorphisms between the space of mixed Hodge modules on $G$. The construction is developed in a categorical-theoretic framework allowing its application to other situations.

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Ángel González-Prieto, Marina Logares, Vicente Muñoz. 2017-09-17. A lax monoidal Topological Quantum Field Theory for representation varieties. https://doi.org/10.1016/j.bulsci.2020.102871

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