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Kauffman polynomials of some links and invariants of 3-manifolds

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Abstract

Kauffman bracket polynomials of the so-called generalized tree-like links are studied. An algorithm of Witten type invariants, which was defined by Blanchet and Habegger et al. of more general 3-manifolds is given.

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References

  1. Witten, E., Quantum field theory and the Jones polynomial, Comm. Math. Phys., 1989, 121: 351–399.

    Article  MATH  MathSciNet  Google Scholar 

  2. Li Banghe, Li Qisheng, The invariants of plumbed 3-manifolds, Chinese Ann. Math., 1996, 17: 565–572.

    MATH  Google Scholar 

  3. Li Banghe, Li Qisheng, Peterson C., The Invariants of 3-manifolds obtained by surgery on the trefoil knot, Chinese Sci. Bull., 1996, 41(21): 1924–1930.

    Google Scholar 

  4. Blanchet, C., Habegger, N., Masbaum, G. et al., Three-manifold invariants derived from the Kauffman bracket, Topology, 1992, 31: 685–699.

    Article  MATH  MathSciNet  Google Scholar 

  5. Kirby, R., Melvin, P., The 3-manifolds invariants of Witten and Reshetikhin-Turaev for sl(2,C), Invent. Math., 1991, 105: 473–545.

    Article  MATH  MathSciNet  Google Scholar 

  6. Li, B. H., Relations among Chern-Simons-Witten-Jones invariants, Science in China, Ser. A, 1995, 38(2): 129–146.

    MATH  Google Scholar 

  7. Freed, D. S., Gompf, R. E., Computer calculation of Witten’s 3-manifold invariants, Comm. Math. Phys., 1995, 141: 79–117.

    Article  MathSciNet  Google Scholar 

  8. Li Qisheng, Li Banghe, The invariants Qp(L(s,q)) of Lens spaces, Chinese Sci. Bull., 1993, 38(7): 580–583.

    Google Scholar 

  9. Rolfsen, D., Knots and Links, Berkeley: Publish or Perish, 1976.

    MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Henan University, 475001, Kaifeng, China

    Qisheng Li

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  1. Qisheng Li
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Correspondence to Qisheng Li.

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Li, Q. Kauffman polynomials of some links and invariants of 3-manifolds. Sci. China Ser. A-Math. 45, 604–609 (2002). https://doi.org/10.1360/02ys9065

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  • DOI: https://doi.org/10.1360/02ys9065

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