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

Maxim Sokolov

Banach Center Publications (1998)

  • Volume: 42, Issue: 1, page 395-408
  • ISSN: 0137-6934

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Sokolov, Maxim. "On the absolute value of the SO(3)-invariant and other summands of the Turaev-Viro invariant." Banach Center Publications 42.1 (1998): 395-408. <http://eudml.org/doc/208819>.

@article{Sokolov1998,
author = {Sokolov, Maxim},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {395-408},
title = {On the absolute value of the SO(3)-invariant and other summands of the Turaev-Viro invariant},
url = {http://eudml.org/doc/208819},
volume = {42},
year = {1998},
}

TY - JOUR
AU - Sokolov, Maxim
TI - On the absolute value of the SO(3)-invariant and other summands of the Turaev-Viro invariant
JO - Banach Center Publications
PY - 1998
VL - 42
IS - 1
SP - 395
EP - 408
LA - eng
UR - http://eudml.org/doc/208819
ER -

References

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  1. [BHMV] C. Blanchet, N. Habegger, G. Masbaum, P. Vogel, Remarks on the three-manifold invariants θ p , ’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. Zbl0129.15801
  3. [F] A. T. Fomenko, Visual geometry and topology, Springer-Verlag, Berlin and Heidelberg, 1994. Zbl0802.58001
  4. [KL1] L. H. Kauffman and S. Lins, Computing Turaev-Viro invariants for 3-manifolds, Manuscripta Math. 72 (1991), 81-94. Zbl0725.57008
  5. [KL2] L. H. Kauffman and S. Lins, Temperley-Lieb recoupling theory and invariants of 3-manifolds, Princeton University Press, Princeton, N. J., 1994. Zbl0821.57003
  6. [KM] R. C. Kirby, P. Melvin, The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl(2,𝑪), Inv. Math. 105 (1991), 473-545. Zbl0745.57006
  7. [M] S. V. Matveev, Transformations of special spines and the Zeeman conjecture, Math. USSR Izvestia, Vol. 31, 2, 1988, 423-434. Zbl0676.57002
  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. Zbl0766.57011
  9. [P] R. Piergallini, Standard moves for standard polyhedra and spines, Rend. Circ. Mat. Palermo, Vol. 37, 18 (1988), 391-414. Zbl0672.57004
  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. Zbl0874.57011
  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. Zbl0779.57009
  15. [W] K. Walker, On Witten's 3-manifold invariants, Preprint, 1991. 

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