3 problems

Let $L$ be a monotone Lagrangian submanifold, and let $HF(L)$ denote its Lagrangian Floer homology over $\mathbb{Z}_2$. Call $L$ wide if … and narrow if $HF(L)=0$, where…

Singular instanton homology is defined using the Morse complex of a perturbed Chern–Simons functional. For a knot in $S^3$, a Heegaard splitting gives Lagrangians $L_1$ and $L_2$ i…

In Seidel and Smith's construction, a braid $\beta$ determines a pair of Lagrangians in an exact symplectic manifold $\mathcal{Y}_{n,t_0}$. Seidel–Smith symplectic Khovanov homolog…