Corpus ID: 118146797

A geometric formula for the Witten-Reshetikhin-Turaev Quantum Invariants and some applications

@article{Andersen2012AGF,
  title={A geometric formula for the Witten-Reshetikhin-Turaev Quantum Invariants and some applications},
  author={J. Andersen},
  journal={arXiv: Differential Geometry},
  year={2012}
}

J. Andersen

Published 2012

Mathematics

arXiv: Differential Geometry

We provide a geometric construction of the boundary states for handlebodies which we in turn use to give a geometric formula for the Witten-Reshetikhin-Turaev quantum invariants. We then analyze the asymptotics of this invariant in the special case of a three manifold given by 1-surgery on a knot and we show that if the knot has an irreducible representation of its fundamental group into SU(2), then its quantum invariant cannot equal those of the three sphere. From this we conclude that if a… CONTINUE READING

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