Mathematics – Quantum Algebra
Scientific paper
1996-10-11
Mathematics
Quantum Algebra
AMSTeX, 25 pages with 18 figures, uses epsf.tex
Scientific paper
Given an oriented knot K in S^3 and a TQFT, Turaev and Viro defined modules somewhat analogous to the Alexander module. We work with the (V_p,Z_p) theories of Blanchet, Habegger, Masbaum and Vogel {BHMV} for p \ge 3, and consider the associated modules. In {G}, we defined modules which also depend on the extra data of a color c which is assigned to a meridian of the knot in the construction of the module. These modules can be used to calculate the quantum invariants of cyclic branched covers of knots and have other uses. Suppose now that S is a satellite knot with companion C, and pattern P. We give formulas for the Turaev-Viro modules for S in terms of the Turaev-Viro modules of C and similar data coming from the pattern P. We compute these invariants explicitly in several examples.
No associations
LandOfFree
Turaev-Viro Modules of Satellite knots does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Turaev-Viro Modules of Satellite knots, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Turaev-Viro Modules of Satellite knots will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-23602