English

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

Category Theory 2026-02-25 v2 Algebraic Topology

Abstract

Twisted arrow \infty-categories of (,1)(\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 (,2)(\infty,2)-categories. In this paper we introduce another simple model for twisted arrow \infty-categories of (,2)(\infty,2)-categories.

Cite

@article{arxiv.2405.06912,
  title  = {A simple model for twisted arrow $\infty$-categories},
  author = {Takeshi Torii},
  journal= {arXiv preprint arXiv:2405.06912},
  year   = {2026}
}

Comments

34 pages, major revision, sections 6 and 7 added

R2 v1 2026-06-28T16:24:00.117Z