2-Cartesian fibrations II: The Grothendieck construction for ∞-bicategories

Fernando Abellán and Walker Stern

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Abstract

In this work, we construct an ∞-bicategorical version of Lurie’s straightening-unstraightening adjunction. We provide a relative nerve construction in the case where the base is a strict 2-category and use this to prove a comparison to existing 2-categorical Grothendieck constructions.

Fernando Abellan Garcia
Fernando Abellan
Postdoctoral Fellow