González Prieto, José ÁngelLogares Jiménez, Marina LucíaMuñoz Velázquez, Vicente2024-02-082024-02-082020González-Prieto Á, Logares M, Muñoz V. A lax monoidal topological quantum field theory for representation varieties. Bulletin des Sciences Mathématiques 2020; 161: 102871. [DOI: 10.1016/j.bulsci.2020.102871]0007-449710.1016/j.bulsci.2020.102871https://hdl.handle.net/20.500.14352/100554We 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.engjournal articlehttps://doi.org/10.1016/j.bulsci.2020.102871https://www.sciencedirect.com/science/article/pii/S0007449720300415open accessTQFTModuli spacesE-polynomialRepresentation varietiesGeometría1204 Geometría