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math.QA2026
3-dimensional TQFTs from derived categories of quantum group representations
Cris Negron
For any finite modular tensor category A, we show that the associated derived -category D(A) supports a topological quantum field theory in dimension 3. This TQFT takes the…
math.QA2026
Cocompletions for non-abelian vertex tensor categories
Robert McRae, Cris Negron
It was recently shown by Huang that the category of -cofinite modules for any vertex operator algebra admits a natural braided monoidal structure. Here, we show that this…