5 citations · 5 across the 2 of their papers we have counts for
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2-Cartesian fibrations I: A model for -bicategories fibred in -bicategories
Fernando Abellán García, Walker H. Stern
In this paper, we provide a notion of -bicategories fibred in -bicategories which we call 2-Cartesian fibrations. Our definition is formulated using the language of…
Theorem A for marked 2-categories
Fernando Abellán García, Walker H. Stern
In this work, we prove a generalization of Quillen's Theorem A to 2-categories equipped with a special set of morphisms which we think of as weak equivalences, providing sufficient…
A relative 2-nerve
Fernando Abellán García, Tobias Dyckerhoff, Walker H. Stern
In this work, we introduce a 2-categorical variant of Lurie's relative nerve functor. We prove that it defines a right Quillen equivalence which, upon passage to -categoric…
2-Segal objects and algebras in spans
Walker H. Stern
We define a category parameterizing Calabi-Yau algebra objects in an infinity category of spans. Using this category, we prove that there are equivalences of infinity categories re…