4 problems

In extended topological quantum field theory, $3$-dimensional Chern–Simons theory is expected to assign a point a class of projective unitary representations of the based loop grou…

Zheng's fixed-point conjecture. Every object of $\mathbf{IUMFC}^{\mathrm{en}}$ can be promoted canonically to an $SO(3)$-fixed point.

Zheng's decomposition conjecture. The 1-2-3-dimensional theory of $\mathcal{Z}_{\mathcal{C}}$ is a combination of those of $\mathcal{Z}^{RT}_{\mathcal{C}}$ and…

Zheng's extension conjecture. The extended 3D TQFT given by $\mathfrak{C}$ extends the 1-2-3-dimensional Reshetikhin–Turaev TQFT associated to $\mathcal{C}$ down to dimension zero.