4 problems

Let $C$ be an immersed Lagrangian cylinder between smoothly concordant Legendrian knots $K_1$ and $K_2$, constructed as in the immersion construction discussed in the paper. Let…

Representation-category obstruction conjecture. This obstruction to reversing concordance is strictly stronger than the obstruction from the augmentation category: there should exi…

Let $K_0$ and $K_1$ be Legendrian knots, and let a Lagrangian concordance induce a map between their $HFK^{-}$ groups. Let the Legendrian invariant be the invariant in $HFK^{-}$ de…

Let $W\subset J^1(S^1)$ be the Legendrian Whitehead double pattern, let $U$ be the standard Legendrian unknot, and let $\Lambda$ be the Legendrian $\overline{9_{46}}$ knot with a L…