Topology of Morse flows with fixed points on the boundary of complete handlebody
We studied topological properties of polar Morse flows on 3-dimensional handlebody, all fixed points of which lie on the boundary and have no separatrices connecting the saddle. We built an analog of Heegaard decomposition and $m$-diagram, which is complete topological invariant of flow. Equivalence...
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| Datum: | 2015 |
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| Ключові слова: | keywords |
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Ukrainisch |
| Veröffentlicht: |
Інститут математики НАН України
2015
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| Online Zugang: | https://trim.imath.kiev.ua/index.php/trim/article/view/148 |
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| Назва журналу: | Transactions of Institute of Mathematics of NAS of Ukraine |
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Transactions of Institute of Mathematics of NAS of Ukraine| Zusammenfassung: | We studied topological properties of polar Morse flows on 3-dimensional handlebody, all fixed points of which lie on the boundary and have no separatrices connecting the saddle. We built an analog of Heegaard decomposition and $m$-diagram, which is complete topological invariant of flow. Equivalence of m-diagrams and flow we check using the distinguishing graphs. We found all possible distinguishing graphs with no more than 5 vertex. |
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