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oai:docta.ucm.es:20.500.14352/1005542025-03-26T00:49:49Zcom_20.500.14352_14col_20.500.14352_15

A lax monoidal Topological Quantum Field Theory for representation varieties González Prieto, José Ángel Logares Jiménez, Marina Lucía Muñoz Velázquez, Vicente TQFT Moduli spaces E-polynomial Representation varieties Geometría 1204 Geometría 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. European Comission Ministerio de Economía, Comercio y Empresa (España) Fundación La Caixa Depto. de Álgebra, Geometría y Topología Fac. de Ciencias Matemáticas TRUE pub 2024-02-08T16:41:12Z 2024-02-08T16:41:12Z 2020 journal article AM https://hdl.handle.net/20.500.14352/100554 0007-4497 10.1016/j.bulsci.2020.102871 eng GREAT - DLV-654490 info:eu-repo/grantAgreement/MINECO//MTM2015-63612-P/ES/TOPOLOGIA DE VARIEDADES, TOPOLOGIA COMBINATORIA Y DINAMICA TOPOLOGICA/ LCF/BQ/ES15/10360013 González-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] open access application/pdf application/pdf Elsevier