RT Journal Article T1 A lax monoidal Topological Quantum Field Theory for representation varieties A1 González Prieto, José Ángel A1 Logares Jiménez, Marina Lucía A1 Muñoz Velázquez, Vicente AB 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. PB Elsevier YR 2020 FD 2020-07 LK https://hdl.handle.net/20.500.14352/100554 UL https://hdl.handle.net/20.500.14352/100554 LA eng NO Unión Europea NO Ministerio de Economía, Industria y Competitividad NO La Caixa DS Docta Complutense RD 22 ago 2024