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On 3-dimensional homotopy quantum field theory III: comparison of two approaches

Published 22 Nov 2019 in math.GT and math.QA | (1911.10257v1)

Abstract: 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.

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