Deligne's determinant functors and the RHom of connected homotopy $2$-types

TL;DR

This paper explores the relationship between Deligne's determinant functors and the RHom construction within the context of connected homotopy 2-types, providing new insights into their categorical and homotopical structures.

Contribution

It establishes a novel connection between determinant functors and RHom in the setting of connected homotopy 2-types, advancing the understanding of their interplay.

Findings

Determinant functors are equivalent to RHom of connected homotopy 2-types.

Provides a new categorical framework linking determinants and homotopy types.

Enhances the theoretical foundation for studying 2-types in homotopy theory.

Abstract

The determinant functeurs are the RHom of connected homotopy $2$-types.