5 papers
Root data in character varieties
Ángel González-Prieto, Alfonso Zamora
Given an algebraic reductive group over an algebraically closed field of characteristic zero and a finitely generated group, we provide a stratification of the -characte…
Character varieties of torus links
Ángel González-Prieto, Javier Martínez, Vicente Muñoz
In this paper, we study the geometry of the moduli space of representations of the fundamental group of the complement of a torus link into an algebraic group G, an algebraic varie…
Arithmetic-Geometric Correspondence of Character Stacks via Topological Quantum Field Theory
Ángel González-Prieto, Márton Hablicsek, Jesse Vogel
In this paper, we introduce Topological Quantum Field Theories (TQFTs) generalizing the arithmetic computations done by Hausel and Rodríguez-Villegas and the geometric construction…
An evaluation framework for dimensionality reduction through sectional curvature
Raúl Lara-Cabrera, Ángel González-Prieto, Diego Pérez-López +2
Unsupervised machine learning lacks ground truth by definition. This poses a major difficulty when designing metrics to evaluate the performance of such algorithms. In sharp contra…
Stratification of -character varieties of twisted Hopf links
Ángel González-Prieto, Marina Logares, Javier Martínez +1
We describe the geometry of the character variety of representations of the fundamental group of the complement of a Hopf link with twists, namely $Γ_{n}=\langle x,y \,| \, [x^…