2000/10/28 by Józef H. Przytycki, Jozef H. Przytycki, Przytycki, Jozef H. +2
Mathematics · #57M25 #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #math.GT #msc:57M25
paper · pdf · doi:10.48550/arxiv.math/0010282
26 pages, 20 figures
arxiv created 2000/10/28 · openalex publication_date 2000/10/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the concept of the fourth skein module of 3-manifolds, that is a skein module based on the skein relation b0L0 + b1L1 + b2L2 + b3L3 = 0 and a framing relation L(1) = aL, where a, b0, b3 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).