7 problems

The paper considers the noncommutative state models of ]H and ]A and the state model of ]GL for colored Jones polynomials. Dominance conjecture. The noncommutative state model of ]…

A state-sum Hamiltonian schema is obtained from a topological state-sum construction: for a cellulation $\Delta$ of a space manifold $Y$, the state-sum on $Y\times I$ defines an id…

Let $G$ be the symmetry group, let $\mathcal{C}$ be the input category, and consider the state sum whose group-label contribution is averaged as … Here the sum ranges over all assi…

Universality conjecture. The universal state-sum construction contains fixed point models for topological phases that are not captured by known constructions.

The 2-Poincaré Yetter model is a lattice model associated with the Poincaré 2-group, while the KBF model is a state sum model of quantum flat spacetime developed by Baratin and Fre…

Let a $(3+1)$-dimensional state sum be a topological state-sum construction formulated in terms of a $3$-category. Three-category completeness conjecture. The construction outlined…

Let Kashaev's general construction be the four-dimensional state-sum construction associated with the $Q$ tensors, and let the Crane–Yetter TQFT be the corresponding four-dimension…