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Categorical centers and Reshetikhin-Turaev invariants (0812.2426v1)
Published 12 Dec 2008 in math.QA and math.GT
Abstract: The center Z(C) of a spherical fusion category C (over an arbitrary commutative ring) is modular. We give an algorithm for computing the Reshetikhin-Turaev invariant defined with Z(C). It is based on Hopf diagrams and an explicit description of the structure of the coend of Z(C).