3 papers
math-ph2026
Homotopy lattice gauge fields 1: The fields and their properties
Juan Orendain, Ivan Sanchez, José A. Zapata
We introduce homotopy lattice gauge fields (HLGFs), a version of gauge fields over a discretized base, based on a notion of higher parallel transport that enriches the usual parall…
gr-qc2024
A better space of generalized connections
Juan Orendain, Jose A. Zapata
Given a base manifold and a Lie group , we define a space of generalized -connections on with the following properties: - The space of smooth conne…
math.CT2024
Length of fully faithful framed bicategories
Juan Orendain
The length of a double category is a numerical invariant measuring the 'work' it takes to reconstruct the double category from its globular data. The smallest possible length of a…