4 papers
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…
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…
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…
Higher homotopy and lattice gauge fields
Juan Orendain, Jose Antonio Zapata
We present a general formalism for higher dimensional versions of lattice gauge fields based on higher strict homotopy groupoids. First, using the language of nonabelian Algebraic…