3 problems

Let $H$ be an involutory Hopf category, and let its 2-category of representations be the corresponding representation 2-category. Spherical representation 2-category conjecture. Th…

Let $H$ be an involutory Hopf category whose representations form a spherical 2-category $C_H$. Crane–Frenkel equivalence conjecture. The Crane–Frenkel invariants using $H$ are equ…

Let $U^+_q(\mathfrak{sl}_2)$ be the positive part of the quantum group associated to $\mathfrak{sl}_2$, let its associated Hopf category be the categorical structure constructed in…