Extended Khovanov arc algebras K_m^n were introduced by Stroppel when studying (certain) parabolic categories O. The algebras naturally appear in a variety of contexts, from knot homology, topological quantum field theory to representation theory and symplectic geometry.
In this talk, we will give an introduction to K_m^n and explain how to obtain explicit A∞ deformations of these algebras by presenting their Koszul duals as path algebras of quivers.