5 papers
Computable functions as Reeb flows
Kai Cieliebak, Ãngel González-Prieto, Eva Miranda
We prove that, given any contact -manifold and any computable function , there exists a defining contact form and a Poincaré section o…
Restricted Bernoulli Matrix Factorization: Balancing the trade-off between prediction accuracy and coverage in classification based collaborative filtering
Ãngel González-Prieto, Abraham Gutiérrez, Fernando Ortega +1
Reliability measures associated with the prediction of the machine learning models are critical to strengthening user confidence in artificial intelligence. Therefore, those models…
Topological Kleene Field Theories as a model of computation
Ãngel González-Prieto, Eva Miranda, Daniel Peralta-Salas
In this article, we establish the foundations of a computational field theory, which we term Topological Kleene Field Theory (TKFT), inspired by Stephen Kleene's seminal work on pa…
Representations of knot groups in and Alexander invariants
Ãngel González-Prieto, Javier MartÃnez, Vicente Muñoz
This paper reinterprets Alexander-type invariants of knots via representation varieties of knot groups into the group of affine transformations of the…
Root data in character varieties
Ãngel 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 -charact…