English

Uniqueness of reduced alternating rational 3-tangles

Geometric Topology 2015-04-16 v2

Abstract

In this paper, We introduce an invariant of rational n-tangles which is obtained from the Kauffman bracket. It forms a vector with Laurent polynomial entries. We prove that the invariant classifies the rational 2-tangles and the reduced alternating rational 3-tangles. We conjecture that it classifies the rational 3-tangles as well.

Keywords

Cite

@article{arxiv.1401.7259,
  title  = {Uniqueness of reduced alternating rational 3-tangles},
  author = {Bo-hyun Kwon},
  journal= {arXiv preprint arXiv:1401.7259},
  year   = {2015}
}
R2 v1 2026-06-22T02:56:29.491Z