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On the Kauffman polynomial of an adequate link

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References

  1. Aumann, R.J.: Asphericity of alternating knots. Ann. Math.64, (2), 374–392 (1956)

    Google Scholar 

  2. Crowell, R.H.: Genus of alternating link types. Ann. Math.69, 258–275 (1959)

    Google Scholar 

  3. Kauffman, L.H.: An invariant of regular isotopy. Preprint

  4. Kidwell, M.E.: On the degree of the Brandt-Millett-Lickorish-Ho polynomial of a link. Proc. Am. Math. Soc.100, (No. 3) 755–762 (1987)

    Google Scholar 

  5. Lickorish, W.B.R.: A relationship between link polynomials. Math. Proc. Camb. Philos. Soc.100, 109–112 (1986)

    Google Scholar 

  6. Lickorish, W.B.R., Thistlethwaite, M.B.: Some links with non-trivial polynomials and their crossing-numbers. Comment. Math. Helv., to appear

  7. Menasco, W.: Closed incompressible surfaces in alternating knot and link complements. Topology23, 37–44 (1984)

    Google Scholar 

  8. Rolfsen, D.: Knots and links. Publish or Perish, 1976

  9. Thistlethwaite, M.B.: A spanning tree expansion of the Jones polynomial. Topology26, (No. 3) 297–309 (1987)

    Google Scholar 

  10. Thistlethwaite, M.B.: Kauffman's polynomial and alternating links. Topology, to appear

  11. Tutte, W.T.: The dichromatic polynomial. Proceedings of the fifth British Combinatorial Conference, pp. 605–635 (1975)

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Authors and Affiliations

  1. Department of Computing and Mathematics, Polytechnic of the South Bank, SE1 0AA, London, UK

    Morwen B. Thistlethwaite

  2. Department of Mathematics, University of California, 93106, Santa Barbara, CA, USA

    Morwen B. Thistlethwaite

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  1. Morwen B. Thistlethwaite
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Thistlethwaite, M.B. On the Kauffman polynomial of an adequate link. Invent Math 93, 285–296 (1988). https://doi.org/10.1007/BF01394334

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