Chicken or egg? A hierarchy of homotopy algebras (Q2570225)

The multibraces language, defined by the author [\textit{F. Akman}, J. Pure. Appl. Algebra 167, 129--163 (2002; Zbl 1008.17001)], describes and develops economically homotopy algebra structures like homotopy Gerstenhaber algebras or homotopy Batalin-Vilkovisky algebras. A homotopy algebra structure on a vector space can be lifted to his Hochschild complex and one so considers an induction method to generate the explicit (weakly) homotopy Gerstenhaber algebra maps on a topological vertex operator algebra, a fundamental structure on this one.