Koszul dual A_∞-algebras from star-shaped diagrams -- part 2

2025/10/14 by Khan, Isabella
#FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2510.12575

Abstract

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

Citations

• Planar algebras and the decategorification of bordered Khovanov homology
• Holomorphic disks and knot invariants

Related

• Koszul dual A_∞ algebras for star-shaped diagrams -- Part 1
• A-infinity structures related to bi-Koszul algebras
• Koszul Equivalences in A_∞-Algebras
• Koszul duality, minimal model and L_∞-structure for differential algebras with weight
• Tensor product algebras in type A are Koszul