$q$-Stability conditions via $q$-quadratic differentials for Calabi-Yau-$\mathbb{X}$ categories

30 Nov 2018Akishi IkedaYu Qiu

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 Abstract


No code implementations yet. Submit your code now


Results from the Paper

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