We construct a quiver with superpotential $(Q_\mathbf{T},W_\mathbf{T})$ from a marked surface $\mathbf{S}$ with full formal arc system $\mathbf{T}$. Categorically, we show that the associated cluster-$\mathbb{X}$ category is Haiden-Katzarkov-Kontsevich's topological Fukaya category $\mathcal{D}_{\infty}(\mathbf{T})$ of $\mathbf{S}$, which is also an $\mathbb{X}$-baric heart of the Calabi-Yau-$\mathbb{X}$ category $\mathcal{D}_{\mathbb{X}}(\mathbf{T})$ of $(Q_\mathbf{T},W_\mathbf{T})$... (read more)

PDF
Submit
results from this paper
to get state-of-the-art GitHub badges and help the
community compare results to other papers.