Corpus ID: 236635542

Non-semisimple TQFT's and BPS q-series

@article{Costantino2021NonsemisimpleTA,
  title={Non-semisimple TQFT's and BPS q-series},
  author={Francesco Costantino and Sergei Gukov and Pavel Putrov},
  journal={arXiv: Geometric Topology},
  year={2021}
}
We propose and in some cases prove a precise relation between 3-manifold invariants associated with quantum groups at roots of unity and at generic $q$. Both types of invariants are labeled by extra data which plays an important role in the proposed relation. Bridging the two sides -- which until recently were developed independently, using very different methods -- opens many new avenues. In one direction, it allows to study (and perhaps even to formulate) $q$-series invariants labeled by spin… Expand

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