A classification of transitive links and periodic links

Dongseok Kim

A classification of transitive links and periodic links

Geometric Topology 2015-04-09 v1 Combinatorics

Authors: Dongseok Kim

Abstract

We generalized the periodic links to \emph{transitive} links in a $3$ -manifold $M$ . We find a complete classification theorem of transitive links in a $3$ -dimensional sphere $\mathbb{R}^3$ . We study these links from several different aspects including polynomial invariants using the relation between link polynomials of a transitive link and its factor links.

Keywords

transitive links periodic links 3-manifold classification polynomial invariants link polynomials

Cite

@article{arxiv.1504.02013,
  title  = {A classification of transitive links and periodic links},
  author = {Dongseok Kim},
  journal= {arXiv preprint arXiv:1504.02013},
  year   = {2015}
}

Comments

13 pages, 15 figures

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