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Register a new userA lax monoidal Topological Quantum Field Theory for representation varieties
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Added by
\\'Angel Gonz\\'alez-Prieto
Publication date
2017
fields
Physics
and research's language is
English
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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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