Asymptotic expansions of Witten-Reshetikhin-Turaev invariants for some simple 3-manifolds

@inproceedings{Lawrencea1999AsymptoticEO,
  title={Asymptotic expansions of Witten-Reshetikhin-Turaev invariants for some simple 3-manifolds},
  author={R. J. Lawrencea},
  year={1999}
}
  • R. J. Lawrencea
  • Published 1999
For any Lie algebra g and integral level k, there is defined an invariant Z,*(M, L) of embeddings of links L in 3-manifolds M, known as the WittenReshetikhin-Turaev invariant. It is known that for links in S3, Z,*(S3, L) is a polynomial in 4 = exp (2d(k + ci), namely, the generalized Jones polynomial of the link L. This paper investigates the invariant Z,*_,(M,0) when g=sK, for a simple family of rational homology 3-spheres, obtained by integer surgery around (2, n)-type torus knots. In… CONTINUE READING

References

Publications referenced by this paper.

An introduction to zeta functions , ” From Number Theory to Physics , edited by

  • P Moussa M. Waldschmidt, J.-M. Luck, C. Itzykson

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