Framed Matrices and $A_{\infty }$-Bialgebras

Samson Saneblidze, Ronald Umble

We complete the construction of the biassociahedra $KK$, construct the free matrad ${\mathcal{H}}_{\infty }$, realize ${\mathcal{H}}_{\infty }$ as the cellular chains of $KK,$ and define…