RT Journal Article
T1 On character varieties of singular manifolds
A1 Logares Jiménez, Marina Lucía
A1 González Prieto, José Ángel
AB In this paper, we construct a lax monoidal Topological Quantum Field Theory that computes virtual classes, in the Grothendieck ring of algebraic varieties, of G-representation varieties over manifolds with conic singularities, which we will call nodefolds. This construction is valid for any algebraic group G, in any dimension and also in the parabolic setting. In particular, this TQFT allow us to compute the virtual classes of representation varieties over complex singular planar curves. In addition, in the case G = SL2(k), the virtual class of the associated character variety over a nodal closed orientable surface is computed both in the non-parabolic and in the parabolic scenarios.
YR 2020
FD 2020-11-09
LK https://hdl.handle.net/20.500.14352/7232
UL https://hdl.handle.net/20.500.14352/7232
LA eng
NO Ministerio de Ciencia, Innovación y Universidades (España)
DS Docta Complutense
RD 6 abr 2025