A simple model for twisted arrow $\infty$-categories

TL;DR

This paper introduces a simplified model for twisted arrow $b$-categories of $(b,2)$-categories, expanding the tools available for higher category theory research.

Contribution

It presents a new, simpler model for twisted arrow $b$-categories of $(b,2)$-categories, complementing existing models by Abelle1n Garceda and Stern.

Findings

Provides a more accessible model for twisted arrow $b$-categories.

Facilitates further research in higher category theory.

Simplifies the construction of twisted arrow $b$-categories.

Abstract

Twisted arrow $\infty$-categories of $(\infty,1)$-categories were introduced by Lurie, and they have various applications in higher category theory. Abell\'{a}n Garc\'{i}a and Stern gave a generalization to twisted arrow $\infty$-categories of $(\infty,2)$-categories. In this paper we introduce another simple model for twisted arrow $\infty$-categories of $(\infty,2)$-categories.