Quantum Groups pp 354-362 | Cite as

Preparation theorems for isotopy invariants of links in 3-manifolds

  • A. B. Sossinsky
III. Quantum Groups, Low-Dimensional Topology And Link Invariants
Part of the Lecture Notes in Mathematics book series (LNM, volume 1510)


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [Al]
    Alexander J.W., The combinatorial theory of complexes, Annals of Math 31(2) (1930), 294–322.MathSciNetCrossRefGoogle Scholar
  2. [Bi]
    Birman J., Braids, Links and Mapping Class Groups, Annals of Math Studies 82 (1974), Princeton University Press.Google Scholar
  3. [Jo]
    Jones V., Hecke algebra representations of braid groups and link polynomials, Annals of Math 126 (1987), 335–388.MathSciNetCrossRefzbMATHGoogle Scholar
  4. [Ka]
    Kauffman L., State models and the Jones polynomial, Topology 26 (1987), 395–407.MathSciNetCrossRefzbMATHGoogle Scholar
  5. [Mo]
    Morton H., Threading knot diagrams, Proc. Cambr. Phil. Soc. 99 (1986), 247–160.MathSciNetCrossRefzbMATHGoogle Scholar
  6. [RT]
    Reshetikhin N. and Turaev V., Ribbon graphs and their invariants derived from quantum groups, Commun. Math. Phys. 127 (1990).Google Scholar
  7. [Sk]
    Skora R., On closed braids in 3-manifolds, Preprint (1990).Google Scholar
  8. [So1]
    Sossinsky A., Links in solid tori, Preprint (1990). (in Russian)Google Scholar
  9. [So2]
    Sossinsky A., Knots and braids, Kvant 2 (1989), 6–14. (in Russian)Google Scholar
  10. [TV]
    Turaev V. and Viro O., State sum invariants of 3-manifolds and quantum 6j-symbols, Preprint LOMI (1990); Topology (to appear).Google Scholar
  11. [Xi]
    Xinag Song Lin, Markov theorems for links in L(p,1), Preprint (1990).Google Scholar
  12. [Wi]
    Witten E., Quantum field theory and the Jones polynomial, Commun. Math. Phys. 121 (1989), 351–399.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • A. B. Sossinsky
    • 1
  1. 1.Moscow Institute of Electronic MachinebuildingUSSR

Personalised recommendations