System Upgrade on Tue, May 28th, 2024 at 2am (EDT)
Existing users will be able to log into the site and access content. However, E-commerce and registration of new users may not be available for up to 12 hours. For online purchase, please visit us again. Contact us at customercare@wspc.com for any enquiries.
Given a discrete group G and a spherical G-fusion category whose neutral component has invertible dimension, we use the state-sum method to construct a 3-dimensional Homotopy Quantum Field Theory with target the Eilenberg–MacLane space K(G, 1).
Let GG 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.