The authors construct a symmetric monoidal functor from admissible ribbon bordisms labeled by cochains over a modular tensor category to linear cochain complexes, extending the DGGPR TQFT and preserving homotopy equivalences.
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Cochain valued TQFTs from nonsemisimple modular tensor categories
The authors construct a symmetric monoidal functor from admissible ribbon bordisms labeled by cochains over a modular tensor category to linear cochain complexes, extending the DGGPR TQFT and preserving homotopy equivalences.