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, Volume 72, Issue 1, pp 81–94 | Cite as

Computing Turaev-Viro invariants for 3-manifolds

  • Louis H. Kauffman
  • Sóstenes Lins


We give a simple surface interpretation for each summand in the evaluation of Turaev-Viro invariants, for the case of small (up to eighth) roots of unity. From this interpretation follows an efficient scheme to compute these invariants. Extensive tables relative to a rich variety of 3-manifolds are explicitly presented.


Fundamental Group Closed Surface Admissible State Lens Space Jones Polynomial 
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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • Louis H. Kauffman
    • 1
    • 2
  • Sóstenes Lins
    • 1
    • 2
  1. 1.Department of Mathematics Statistics and Computer ScienceUniversity of Illinois at ChicagoChicagoUSA
  2. 2.Departmento de MatemáticaUniversidade Federal de PernambucoRecifeBrasil

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