Geodesic
Uniqueness of monoidal adjunctions
Homology, homotopy, and applications, Tome 26 (2024) no. 2, pp. 259-272.

Voir la notice de l'article provenant de la source International Press of Boston

$\def\O{\mathcal{O}}$
There are two dual equivalences between the
$\infty$
-category of
$\O$
-monoidal
$\infty$
-categories with right adjoint lax
$\O$
-monoidal functors and that with left adjoint oplax
$\O$
-monoidal functors, where
$\O$
is an
$\infty$
-operad. We study the space of equivalences between these two
$\infty$
-categories, and show that the two equivalences equipped with compatible
$\O$
-monoidal presheaf functors are canonically equivalent.
DOI : 10.4310/HHA.2024.v26.n2.a13
Classification : Primary|18N70, Secondary|18N60, Secondary|55U40
Keywords: monoidal $\infty$-category, lax monoidal functor, Day convolution, $\infty$-operad 
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     author = {Takeshi Torii},
     title = {Uniqueness of monoidal adjunctions},
     journal = {Homology, homotopy, and applications},
     pages = {259--272},
     publisher = {mathdoc},
     volume = {26},
     number = {2},
     year = {2024},
     doi = {10.4310/HHA.2024.v26.n2.a13},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2024.v26.n2.a13/}
}
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Takeshi Torii. Uniqueness of monoidal adjunctions. Homology, homotopy, and applications, Tome 26 (2024) no. 2, pp. 259-272. doi : 10.4310/HHA.2024.v26.n2.a13. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2024.v26.n2.a13/

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