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The state sum graph TQFT

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Monoidal Categories and Topological Field Theory

Part of the book series: Progress in Mathematics ((PM,volume 322))

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Abstract

We derive from a spherical fusion category with invertible dimension a graph TQFT which applies to colored ribbon graphs in 3-dimensional cobordisms. For cobordisms with empty graphs, we recover the TQFT of Chapter 13.

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Turaev, V., Virelizier, A. (2017). The state sum graph TQFT. In: Monoidal Categories and Topological Field Theory . Progress in Mathematics, vol 322. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-49834-8_15

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