A classification of transitive links and periodic links

Dongseok Kim

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arXiv · 1504.02013

A classification of transitive links and periodic links

Dongseok Kim

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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.

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Dongseok Kim. 2015-04-07. A classification of transitive links and periodic links. https://arxiv.org/abs/1504.02013

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