Derived equivalences of DG algebras are not governed by their cohomology rings

X. -F. Mao, R. -K. Lu

Let $\mathcal{A}$ and $\mathcal{B}$ be two connected cochain DG algebra such that ${\mathcal{A}}^{\#}={\mathcal{B}}^{\#}$ and the cohomology rings $H(\mathcal{A})$ and $H(\mathcal{B})$…