Ground States of the $\infty$-categorical Grothendieck Construction

TL;DR

This paper explores the existence of a fundamental ground state within the $ abla$-categorical Grothendieck construction, emphasizing the coexistence of different conceptual perspectives in higher category theory.

Contribution

It identifies and analyzes a ground state in the $ abla$-categorical Grothendieck construction, extending previous work by Lurie and Arakawa.

Findings

Presence of a ground state in the $ abla$-categorical Grothendieck construction

Coexistence of straightened and unstraightened perspectives

Extension of Lurie's and Arakawa's frameworks

Abstract

We highlight the presence of a ground state in the $\infty$-categorical Grothendieck construction of Lurie, further developed by Arakawa, in which both straightened and unstraightened pictures coexist.