Koszul dual $\mathcal{A}_{\infty}$-algebras from star-shaped diagrams -- part 2

Isabella Khan

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arXiv · 2510.12575

Koszul dual $\mathcal{A}_{\infty}$-algebras from star-shaped diagrams -- part 2

Isabella Khan

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Abstract

This paper proves a Koszul duality result between weighted $\mathcal{A}_{\infty}$-algebras constructed in the author's previous work. In the process, we construct a new box tensor product for weighted $\mathcal{A}_{\infty}$ bimodules, and verify a correspondence between weighted $\mathcal{A}_{\infty}$-algebra maps and a particular class of $\mathcal{A}_{\infty}$-bimodule. This paper is part 2 of arXiv:2408.01564.

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Isabella Khan. 2025-10-14. Koszul dual $\mathcal{A}_{\infty}$-algebras from star-shaped diagrams -- part 2. https://arxiv.org/abs/2510.12575

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