On the computation of the Turaev-Viro module of a knot

被引:2
|
作者
Abchir, H
Blanchet, C
机构
[1] Univ Hassan II, Ecole Super Technol, Casablanca 20100, Morocco
[2] Univ Nantes, UMR 6629, F-44322 Nantes 3, France
关键词
knot; abelian cover; 3-manifold; TQFT;
D O I
10.1142/S0218216598000437
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let M be the manifold obtained by 0-framed surgery along a knot K in the 3-sphere. A Topological Quantum Field Theory assigns to a fundamental domain of the universal abelian cover of M an operator, whose non-nilpotent part is the Turaev-Viro module of K. In this paper, using surgery formulas, we give a matrix presentation for the Turaev-Viro module of any knot Ii, in the case of the (V-p, Z(p)) TQFT of Blanchet, Habegger, Masbaum and Vogel. We do the computation for a family of knots in the special case p = 8, and note the relation with the fibering question.
引用
收藏
页码:843 / 856
页数:14
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