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

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.

28 pages, 7 figures; Comments welcome!