A perfect pairing for monoidal adjunctions

Abstract

We give another proof of the fact that there is a dual equivalence between the $\infty$-category of monoidal $\infty$-categories with left adjoint oplax monoidal functors and that with right adjoint lax monoidal functors by constructing a perfect pairing between them.

10 pages, Section 5 in the previous version is separated to another article entitled "Uniqueness of monoidal adjunctions"