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We prove a theorem in 3-dimensional topological field theory: a Reshetikhin-Turaev theory admits a nonzero boundary theory iff it is a Turaev-Viro theory.
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Pavel Etingof and Viktor Ostrik, Finite tensor categories , Mosc. Math. J. 4
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Dominic Joyce, On manifolds with corners , Advances in geometric analysis, Adv. Lect. Math. (ALM), vol. 21, Int. Press, Somerville, MA, 2012, pp. 225–258
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2016
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Jonathan Brundan and Alexander P. Ellis, Monoidal supercategories , Comm. Math. Phys. 351
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André G. Henriques, What Chern-Simons theory assigns to a point , Proc. Natl. Acad. Sci. USA 114
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Robert Usher, Fermionic 6 j 6j -symbols in superfusion categories , J. Algebra 503
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2019
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by same author, Lectures on Field Theory and Topology , Conference Board of the Mathematical Sciences Regional Conference Series in Mathematics, vol. 133, American Mathematical Society, Providence, RI, 2019
2019
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