3 citations · 4 across the 9 of their papers we have counts for
12 papers
On the Non-Commutative Geometry of the Electroweak Interaction
Gustavo Amilcar Saldaña Moncada
In differential geometry, the underlying mathematical structure behind the electroweak theory is a trivial principal --bundle over with the Minkowski met…
Two Non--Commutative U(1)-Gauge Laplacians in the Quantum Hyperboloid
Gustavo Amilcar Saldaña Moncada
In this paper, we will characterize the spectrum of two non--commutative U(1)-gauge Laplacians on the upper sheet of a two--sheet quantum hyperboloid.
Yang--Mills--Connes Theory and Quantum Principal --Bundles over Toric Non--Commutative Manifolds
Gustavo Amilcar Saldaña Moncada
This paper has two main objectives. The first one is to show that the Connes formulation of Dirac theory can be applied in the framework of quantum principal bundles for any n dime…
Some Constructions on Quantum Principal Bundles
Gustavo Amilcar Saldaña Moncada
This paper works as an appendix of the paper titled Geometry of Associated Quantum Vector Bundles and the Quantum Gauge Group and for paper titled Yang-Mills-Connes Theory and Quan…
Electromagnetic Theory with Quantum Principal Bundles
Gustavo Amilcar Saldaña Moncada
The aim of this paper is to formulate a {\it non--commutative geometrical} version of the classical electromagnetic field theory in the vacuum with the Moyal--Weyl algebra as the s…
On Connections and their Curvatures
Gustavo Amilcar Saldaña Moncada, Gregor Weingart
This paper presents a brief study on connections on fiber, principal and vector smooth bundles as well as some relations with their curvatures.