ON THE COMPUTATION OF THE TURAEV-VIRO MODULE OF A KNOT
ON THE COMPUTATION OF THE TURAEV-VIRO MODULE OF A KNOT
复制标题
结的TURAEV-VIRO模的计算
DOI：
10.1142/s0218216598000437
复制
发表时间：
1998
影响因子：
0.5
通讯作者：
C. Blanchet
中科院分区：
文献类型：
--
作者：
H. Abchir;C. Blanchet
设M是三维球面中沿一个纽结沿着作0-框架手术得到的流形。拓扑量子场论赋予M的泛阿贝尔覆盖的基本域一个算子，其非幂零部分是K的Turaev-Viro模。在Blanchet，Habegger，Masbaum和Vogel的（Vp，Zp）TQFT情形下，利用外科手术公式给出了任意纽结K的Turaev-Viro模的矩阵表示.我们在p = 8的特殊情况下对一族纽结进行了计算，并注意到了与解的关系。
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 K, in the case of the (Vp, Zp) 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.