4 problems

Let $\mathbf S$ be the orbifold surface associated to a graded skew-gentle algebra, and let $\mathscr W(\mathbf S)$ denote its partially wrapped Fukaya category. A formal dissectio…

Formal-dissection conjecture. The endomorphism algebras of all formal generators of $\mathcal W(\mathbf S)$ arise from formal dissections.

Let $\mathbf S=(S,\Sigma,\eta)$ be a graded orbifold surface with stops, let $\Delta$ be a formal dissection of $\mathbf S$, and write $\mathrm{H}^\bullet(\mathbf A_\Delta)$ for th…

Uniform local-index conjecture. Then $cell_{csigma_i}=cell_{csigma_j}$ for all $i,j$.