ON THE COMPUTATION OF THE TURAEV-VIRO MODULE OF A KNOT
1998 ◽
Vol 07
(07)
◽
pp. 843-856
◽
Keyword(s):
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.
1997 ◽
Vol 188
(3)
◽
pp. 501-520
◽
2007 ◽
Vol 05
(01n02)
◽
pp. 223-228
◽
Keyword(s):
1999 ◽
Vol 08
(02)
◽
pp. 125-163
◽
Keyword(s):