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
SN 0007-4497
YR 2020
FD 2020
LK https://hdl.handle.net/20.500.14352/100554
UL https://hdl.handle.net/20.500.14352/100554
LA eng
NO 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]
NO European Comission
NO Ministerio de Economía, Comercio y Empresa (España)
NO Fundación La Caixa
DS Docta Complutense
RD 10 abr 2025