Categorical centers and Reshetikhin-Turaev invariants

Mathematics – Quantum Algebra

Scientific paper

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Scientific paper

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).

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