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math.CT2023
Internalizations of decorated bicategories via -indexings
Juan Orendain, Ruben Maldonado
We treat the problem of lifting bicategories into double categories through categories of vertical morphisms. We consider structures on decorated 2-categories allowing us to formal…
math.CT2019
Lifting bicategories through the Grothendieck construction
Juan Orendain
We treat the problem of lifting bicategories into double categories through categories of vertical morphisms. We make use of a specific instance of the Grothendieck construction to…
math.CT2018
Cylinder topological quantum field theory: A categorical presentation of classical field theory and its symmetries
Juan Orendain
We use geometric ideas coming from certain classic algebraic constructions to associate, to every classical field theory, a symmetric monoidal double functor from the double catego…