2 problems

String homology–Legendrian contact homology conjecture. For any compact oriented submanifold $K$ in $\mathbb{R}^n$, $H^{\mathrm{string}}_*(\mathbb{R}^n,K)$ is isomorphic to the Leg…

Functoriality conjecture. There is an $L_\infty$ morphism from the $L_\infty$ algebra $((\mathcal{A}^+)^{\operatorname{comm}},\{\ell_k^+\})$ of $\Lambda^+$ to the $L_\infty$ algebr…