Fat handles and phase portraits of non singular Morse-Smale flows on \(S^3\) with unknotted saddle orbits (Q2923155)
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scientific article; zbMATH DE number 6355888
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fat handles and phase portraits of non singular Morse-Smale flows on \(S^3\) with unknotted saddle orbits |
scientific article; zbMATH DE number 6355888 |
Statements
15 October 2014
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NMS flows
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links of periodic orbits
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round handle decomposition
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fat round handles
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ordered flows
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Fat handles and phase portraits of non singular Morse-Smale flows on \(S^3\) with unknotted saddle orbits (English)
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The authors consider the non-singular Morse-Smale flows (NMS) with unknotted and unlinked saddle orbits. In terms of the six operations for Hopf links due to \textit{M. Wada} [J. Math. Soc. Japan 41, No. 3, 405--413 (1989; Zbl 0672.58042)] these flows are characterized only by the first three of these operations. Using this characterization, the authors build NMS flows by identifying fat round handles along their boundaries and also obtain the order in the saddle orbits when there are heteroclinic trajectories.
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