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Computing Turaev-Viro invariants for 3-manifolds

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics Statistics and Computer Science, University of Illinois at Chicago, 60680, Chicago, Ill., USA

    Louis H. Kauffman & Sóstenes Lins

  2. Departmento de Matemática, Universidade Federal de Pernambuco, 50739, Recife, Pe., Brasil

    Louis H. Kauffman & Sóstenes Lins

Authors
  1. Louis H. Kauffman
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  2. Sóstenes Lins
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Kauffman, L.H., Lins, S. Computing Turaev-Viro invariants for 3-manifolds. Manuscripta Math 72, 81–94 (1991). https://doi.org/10.1007/BF02568267

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  • DOI: https://doi.org/10.1007/BF02568267

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