3 problems

Let $X$ be a sufficiently nice parameter space, such as a CW complex, let $\mathcal{C}$ be a fusion category, and let $\mathcal{M}$ be a fixed $\mathcal{C}$-module category with co…

Let $\mathcal{C}$ be a fusion category, let $\mathcal{M}$ be a $\mathcal{C}$-module category, and denote the corresponding gapped phase by $\mathcal{T}_{\mathcal{M}}^{\mathcal{C}}$…

Let $\Phi_0$ and $\Phi_1$ be two translation-invariant finite-range interactions. For $i=0,1$, suppose there are integers $l_i$ and $r_i$ such that … Here ${\mathcal S}_i^\Gamma$ d…