Homotopy Algebra Structures on Twisted Tensor Products and String Topology Operations

Micah Miller

Given a $C_{\infty }$ coalgebra $C_{\ast }$, a strict dg Hopf algebra $H_{\ast }$, and a twisting cochain $\tau :C_{\ast }\to H_{\ast }$ such that $Im(\tau )\subset Prim(H_{\ast })$, we describe a procedure for…