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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…
math.CT2023
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…