COMPUTING TURAEV-VIRO INVARIANTS FOR 3-MANIFOLDS

被引：11
|
作者：
KAUFFMAN, LH [1 ]
LINS, S [1 ]
机构：
[1] UNIV FED PERNAMBUCO,DEPT MATEMAT,BR-50739 RECIFE,PE,BRAZIL
来源：
MANUSCRIPTA MATHEMATICA | 1991年 / 72卷 / 01期
关键词：
D O I：
10.1007/BF02568267
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：81 / 94
页数：14
相关论文
共 50 条
  • [41] Amplitudes for topology change in Turaev-Viro theory
    Ionicioiu, R
    CLASSICAL AND QUANTUM GRAVITY, 1998, 15 (07) : 1885 - 1894
  • [42] BTZ Black Hole Entropy and the Turaev-Viro Model
    Geiller, Marc
    Noui, Karim
    ANNALES HENRI POINCARE, 2015, 16 (02): : 609 - 640
  • [43] Towards the Turaev-Viro amplitudes from a Hamiltonian constraint
    Bonzom, Valentin
    Dupuis, Maite
    Girelli, Florian
    PHYSICAL REVIEW D, 2014, 90 (10):
  • [44] SPIN NETWORKS, TURAEV-VIRO THEORY AND THE LOOP REPRESENTATION
    FOXON, TJ
    CLASSICAL AND QUANTUM GRAVITY, 1995, 12 (04) : 951 - 964
  • [45] Periods, the meromorphic 3D-index and the Turaev-Viro invariant
    Garoufalidis, Stavros
    Wheeler, Campbell
    arXiv, 2022,
  • [46] Observables in the Turaev-Viro and Crane-Yetter models
    Barrett, John W.
    Martins, Joao Faria
    Garcia-Islas, J. Manuel
    JOURNAL OF MATHEMATICAL PHYSICS, 2007, 48 (09)
  • [47] Algorithms and complexity for Turaev–Viro invariants
    Burton B.A.
    Maria C.
    Spreer J.
    Journal of Applied and Computational Topology, 2018, 2 (1-2) : 33 - 53
  • [48] EXAMPLES OF DIFFERENT 3-MANIFOLDS WITH THE SAME INVARIANTS OF WITTEN AND RESHETIKHIN-TURAEV
    KANIABARTOSZYNSKA, J
    TOPOLOGY, 1993, 32 (01) : 47 - 54
  • [49] A reciprocity formula from abelian BF and Turaev-Viro theories
    Mathieu, P.
    Thuillier, F.
    NUCLEAR PHYSICS B, 2016, 912 : 327 - 353
  • [50] ASYMPTOTIC EXPANSIONS OF WITTEN-RESHETIKHIN-TURAEV INVARIANTS FOR SOME SIMPLE 3-MANIFOLDS
    LAWRENCE, RJ
    JOURNAL OF MATHEMATICAL PHYSICS, 1995, 36 (11) : 6106 - 6129
12345