2026-06-26T16:50:13Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/72322025-01-31T01:00:15Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Logares Jiménez, Marina Lucía
author
González Prieto, José Ángel
2023-06-17T08:28:34Z
2023-06-17T08:28:34Z
2020-11-09
https://hdl.handle.net/20.500.14352/7232
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.
eng
CCBY
On character varieties of singular manifolds
journal article
URL
https://docta.ucm.es/bitstreams/a4564337-a533-438f-ae8f-116c9bbcd8a2/download
File
MD5
5db6f55aa18a89536c847c02d65d68f8
772138
application/pdf
On character_Vers_Publicada.pdf