8 problems

Let $\bm L$ be a self-intersecting immersed Lagrangian brane, let $L_{\mathrm{SI}}\coloneqq L\times_XL$ be its self-intersection locus, and let $_{,}$ be the local system associate…

Bottman–Wehrheim conjecture. There is an isomorphism

Let $P^*$ be the pillowcase, let $\mathcal{W}^\star(P^*)\simeq\operatorname{Tw}\mathcal{B}$ be the indicated subcategory, and let $\mathcal{N}$ denote the curve-to-twisted-complex…

Let $A$, $B$, $R_\pi(T_1)$ and $R(T_2)$ be the Lagrangian objects and tangle character varieties appearing in the quilted Floer complex, and let $y_+\to x_-$ denote the displayed n…

Let $P^*$ be the pillowcase, let $u_s$ and $v_\delta$ be the immersed Lagrangian correspondences associated to the earring tangle and its model, respectively, and let $A$ be a…

Let $P^*$ be the pillowcase, let $A$ be a $b4$-arc-type Lagrangian in $P^*$, and let $u_s$ denote the immersed Lagrangian correspondence induced by the earring tangle for sufficien…

Product-structure conjecture. The only non-trivial products, other than products involving the unit, are

Wall-crossing conjecture. For all $s,t\in S$, there should exist open subsets $O_{s,t}\subseteq{\mathbin{\mathcal M}}_{{\mathcal H}_s,{\mathfrak n}^s}$ and homeomorphisms…