International Journal of Mathematics ( IF 0.604 ) Pub Date : 2020-07-31 , DOI: 10.1142/s0129167x20500767
Let $G$ be a discrete group and $𝒞$ be an additive spherical $G$-fusion category. We prove that the state sum 3-dimensional HQFT derived from $𝒞$ is isomorphic to the surgery 3-dimensional HQFT derived from the $G$-center of $𝒞$.