Restriction of Scalars for $L_\infty$-Modules

Champ Davis

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arXiv · 2208.13942

Restriction of Scalars for $L_\infty$-Modules

Champ Davis

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Abstract

Let $I: L' \to L$ be a morphism of $L_\infty$-algebras. The goal of this paper is to describe restriction of scalars in the setting of $L_\infty$-modules and prove that it defines a functor $I^*: L\text{-mod} \to L'\text{-mod}$. A more abstract approach to this problem was recently given by Kraft-Schnitzer. In a subsequent paper, this result is applied to show that there is a well-defined $L_\infty$-module structure on the sutured annular Khovanov homology of a link in a thickened annulus.

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Champ Davis. 2022-08-30. Restriction of Scalars for $L_\infty$-Modules. https://arxiv.org/abs/2208.13942

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