16 citations · 34 across the 6 of their papers we have counts for
5 papers · 1 filter
The point counting problem in representation varieties of torus knots
Ángel González-Prieto, Vicente Muñoz
We compute the motive of the variety of representations of the torus knot of type (m,n) into the affine groups and for an arbitrary field . In the case that $k =…
Motive of the representation varieties of torus knots for low rank affine groups
Ángel González-Prieto, Marina Logares, Vicente Muñoz
We compute the motive of the variety of representations of the torus knot of type (m,n) into the affine groups and . For this, we stratify the varieties and sh…
Virtual classes of parabolic -character varieties
Ángel González-Prieto
In this paper, we compute the virtual classes in the Grothendieck ring of algebraic varieties of -character varieties over compact orientable surfaces wi…
Topological Quantum Field Theories for character varieties
Ángel González-Prieto
This PhD Thesis is devoted to the study of Hodge structures on a special type of complex algebraic varieties, the so-called character varieties. For this purpose, we propose to use…
Motivic theory of representation varieties via Topological Quantum Field Theories
Ángel González-Prieto
In this paper, we use lax monoidal TQFTs as an effective computational method for motivic classes of representation varieties. In particular, we perform the calculation for parabol…