A classification of transitive links and periodic links

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.

13 pages, 15 figures

References in corpus (1)

• A Diagrammatic Category for the Representation Theory of U_q(sl_n)