Finiteness for Mapping Class Group Representations from Twisted Dijkgraaf-Witten Theory

@article{Gustafson2016FinitenessFM,
  title={Finiteness for Mapping Class Group Representations from Twisted Dijkgraaf-Witten Theory},
  author={Paul Gustafson},
  journal={arXiv: Quantum Algebra},
  year={2016}
}
We show that any twisted Dijkgraaf-Witten representation of a mapping class group of an orientable, compact surface with boundary has finite image. This generalizes work of Etingof, Rowell and Witherspoon showing that the braid group images are finite. In particular, our result answers their question regarding finiteness of images of arbitrary mapping class group representations in the affirmative. Our approach is to translate the problem into manipulation of colored graphs embedded in the… Expand

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