8 citations · 25 across the 6 of their papers we have counts for
8 papers
Principal bundles and connections modelled by Lie group bundles
Marco Castrillón López, Álvaro Rodríguez Abella
In this work, generalized principal bundles modelled by Lie group bundle actions are investigated. In particular, the definition of equivariant connections in these bundles, associ…
Unexpected detection rate dependence of the intrinsic detection efficiency in single-photon detectors based on avalanche diodes
Sebastian M. F. Raupach, Ivo Pietro Degiovanni, Hristina Georgieva +6
Single-photon detectors are a pivotal component in photonic quantum technologies. A precise and comprehensive calibration of the intrinsic detection efficiency is of utmost importa…
The homogeneous geometries of complex hyperbolic space
José Luis Carmona Jiménez, Marco Castrillón López
We describe the holonomy algebras of all canonical connections and their action on complex hyperbolic spaces in all dimensions (). This th…
Lagrangian Reduction by Stages in Field Theory
Miguel Á. Berbel, Marco Castrillón López
We propose a category of bundles in order to perform Lagrangian reduction by stages in covariant Field Theory. This category plays an analogous role to Lagrange-Poincaré bundles in…
Differential characters and cohomology of the moduli of flat Connections
Marco Castrillón López, Roberto Ferreiro Pérez
Let be a principal bundle and an invariant polynomial of degree r on the Lie algebra of the structure group. The theory of Chern-Simons differential characters…
Invariants for the Lagrangian Equivalence Problem
Marco Castrillón López, Jaime Muñoz Masqué, Eugenia Rosado María
Let be a connected smooth manifold, let be the group automorphisms of the bundle , and let $q\colon J^1(\mathb…
Covariantizing Classical Field Theories
Marco Castrillón López, Mark J. Gotay
We show how to enlarge the covariance group of any classical field theory in such a way that the resulting "covariantized" theory is 'essentially equivalent' to the original. In pa…
Routh reduction for singular Lagrangians
Bavo Langerock, Marco Castrillón López
This paper concerns the Routh reduction procedure for Lagrangians systems with symmetry. It differs from the existing results on geometric Routh reduction in the fact that no regul…