The fourth skein module and the Montesinos-Nakanishi conjecture for 3-algebraic links
Geometric Topology
2007-05-23 v1
Abstract
We study the concept of the fourth skein module of 3-manifolds, that is a skein module based on the skein relation b_0L_0 + b_1L_1 + b_2L_2 + b_3L_3 = 0 and a framing relation L^{(1)} = aL, where a, b_0, b_3 are invertible. We introdule the concept of n-algebraic tangles (and links) and analyze the skein module for 3-algebraic links. As a byproduct we prove the Montesinos-Nakanishi 3-move conjecture for 3-algebraic links (including 3-bridge links).
Keywords
Cite
@article{arxiv.math/0010282,
title = {The fourth skein module and the Montesinos-Nakanishi conjecture for 3-algebraic links},
author = {Jozef H. Przytycki and Tatsuya Tsukamoto},
journal= {arXiv preprint arXiv:math/0010282},
year = {2007}
}
Comments
26 pages, 20 figures