ArticleOriginal scientific text

Title

On the absolute value of the SO(3)-invariant and other summands of the Turaev-Viro invariant

Authors 1

Affiliations

  1. George Washington University, Funger 428A, 2201 G St., NW, Washington, D.C., 20052, U.S.A.

Bibliography

  1. [BHMV] C. Blanchet, N. Habegger, G. Masbaum, P. Vogel, Remarks on the three-manifold invariants θp, 'Operator Algebras, Mathematical Physics, and Low Dimensional Topology' (Nato Workshop July 1991), Vol. 5, 39-59.
  2. [Ca] B. G. Casler, An imbedding theorem for connected 3-manifolds with boundary, Math. Soc. 16 (1965), 559-566.
  3. [F] A. T. Fomenko, Visual geometry and topology, Springer-Verlag, Berlin and Heidelberg, 1994.
  4. [KL1] L. H. Kauffman and S. Lins, Computing Turaev-Viro invariants for 3-manifolds, Manuscripta Math. 72 (1991), 81-94.
  5. [KL2] L. H. Kauffman and S. Lins, Temperley-Lieb recoupling theory and invariants of 3-manifolds, Princeton University Press, Princeton, N. J., 1994.
  6. [KM] R. C. Kirby, P. Melvin, The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl(2,), Inv. Math. 105 (1991), 473-545.
  7. [M] S. V. Matveev, Transformations of special spines and the Zeeman conjecture, Math. USSR Izvestia, Vol. 31, 2, 1988, 423-434.
  8. [N] J. R. Neil, Combinatorial calculation of the various normalizations of the Witten invariants for 3-manifolds, J. of Knot Theory and Its Ramifications, Vol. 1, 4 (1992), 407-449.
  9. [P] R. Piergallini, Standard moves for standard polyhedra and spines, Rend. Circ. Mat. Palermo, Vol. 37, 18 (1988), 391-414.
  10. [S1] M. Sokolov, On Turaev-Viro invariants for 3-manifolds, VINITI preprint 583-B93 (in Russian).
  11. [S2] M. Sokolov, The Turaev-Viro invariant for 3-manifolds is a sum of three invariants, Canad. Math. Bull., Vol. 39(4), 1996, pp 468-475.
  12. [T1] V. G. Turaev, Topology of shadows. Preprint, 1991.
  13. [T2] V. G. Turaev, Quantum invariants of knots and 3-manifolds, Walter de Gruyter, Berlin, New York, 1994.
  14. [TV] V. G. Turaev and O. Y. Viro, State sum invariants of 3-manifolds and quantum 6j-symbols, Topology, 31 (1992), 866-902.
  15. [W] K. Walker, On Witten's 3-manifold invariants, Preprint, 1991.
Pages:
395-408
Main language of publication
English
Published
1998
Exact and natural sciences