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arxiv: 1504.02013 · v1 · pith:4MPALRIWnew · submitted 2015-04-07 · 🧮 math.GT · math.CO

A classification of transitive links and periodic links

classification 🧮 math.GT math.CO
keywords linkstransitiveclassificationlinkperiodicaspectscompletedifferent
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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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