Unital $C_{\infty }$-algebras and the real homotopy type of $(r-1)$-connected compact manifolds of dimension $\le \ell (r-1)+2$

Domenico Fiorenza, Hông Vân Lê

We encode the real homotopy type of an $n$-dimensional $(r-1)$-connected compact manifold $M$, $r\ge 2$ into a minimal unital $C_{\infty }$-structure on $H^{\ast }(M,\mathbb{R})$, obtained…