6 problems

Let $K\subset S^{3}$ be a knot, let $L_{K}$ be the corresponding Lagrangian in the resolved conifold $X$, and let $A_{K}(x,p,Q)$ be the augmentation polynomial of $K$, where $x$,…

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…

Invariance conjecture. The homotopy Poisson algebra $(\mathcal{A}^{\operatorname{comm}},\{\ell_k\})$ of a pointed Legendrian link $\Lambda$ is invariant under Legendrian isotopy of…

Let $L$ be a link in ${\mathbb R}^3$, let ${\mathcal A}_L$ be its combinatorial knot differential graded algebra, and let $\Lambda_L\subseteq ST^*{\mathbb R}^3$ be the unit conorma…

Let $\Lambda$ be a Legendrian submanifold in the jet space $\mathcal{J}^1(M)$, let $F$ be a generating family for $\Lambda$, and let $F^\varepsilon$ be a generating-family equivale…

Let $K$ and $K'$ be the Legendrian knots considered in the source, with their linearized homologies defined using augmentations of their Legendrian contact homology differential gr…