The indexed links of Non-singular Morse-Smale flows on graph manifolds

Abstract

We classify the indexed links corresponding to the union of the closed orbits of non-singular Morse-Smale flows on most graph manifolds. We find that each of this kind of indexed links can be obtained by applying a finite steps of operations on a special indexed link, which consists of all of the singular Seifert fibers and some regular Seifert fibers with some precisely described conditions.

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