3 papers
math.DG2026
Hamiltonian Reduction in Affine Principal Bundles
Miguel Ángel Berbel, Marco Castrillón López
This paper presents a Hamiltonian reduction procedure for field theories over affine principal bundles introducing a canonical identification to describe the reduced multisymplecti…
math.DG2022
Gauge reduction in covariant field theory
Marco Castrillón López, Álvaro Rodríguez Abella
In this work, we develop a Lagrangian reduction theory for covariant field theories with gauge symmetries. These symmetries are modeled by a Lie group fiber bundle acting fiberwise…
math.DG2017
Flat connections and cohomology invariants
Indranil Biswas, Marco Castrillón López
The main goal of this article is to construct some geometric invariants for the topology of the set of flat connections on a principal -bundle $P\,\longrightarrow\…