Trajectory equivalence of optimal Morse flows on closed surfaces
We consider optimal Morse flows on closed surfaces. Up to topological trajectory equivalence such flows are determined by marked chord diagrams. We present list all such diagrams for flows on nonorientable surfaces of genus at most 4 and indicate pairs of diagrams corresponding to the flows and thei...
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| Format: | Article |
| Language: | English |
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Odesa National University of Technology
2018-03-01
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| Series: | Pracì Mìžnarodnogo Geometričnogo Centru |
| Subjects: | |
| Online Access: | http:////journals.onaft.edu.ua/index.php/geometry/article/view/916 |
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| author | Злата Кибалко Олександр Олегович Пришляк Roman Shchurko |
| author_facet | Злата Кибалко Олександр Олегович Пришляк Roman Shchurko |
| author_sort | Злата Кибалко |
| collection | DOAJ |
| description | We consider optimal Morse flows on closed surfaces. Up to topological trajectory equivalence such flows are determined by marked chord diagrams. We present list all such diagrams for flows on nonorientable surfaces of genus at most 4 and indicate pairs of diagrams corresponding to the flows and their inverses. |
| first_indexed | 2024-04-12T09:24:52Z |
| format | Article |
| id | doaj.art-9fef4ff371504f05970548b790c93f5b |
| institution | Directory Open Access Journal |
| issn | 2072-9812 2409-8906 |
| language | English |
| last_indexed | 2024-04-12T09:24:52Z |
| publishDate | 2018-03-01 |
| publisher | Odesa National University of Technology |
| record_format | Article |
| series | Pracì Mìžnarodnogo Geometričnogo Centru |
| spelling | doaj.art-9fef4ff371504f05970548b790c93f5b2022-12-22T03:38:30ZengOdesa National University of TechnologyPracì Mìžnarodnogo Geometričnogo Centru2072-98122409-89062018-03-0111110.15673/tmgc.v11i1.916916Trajectory equivalence of optimal Morse flows on closed surfacesЗлата Кибалко0Олександр Олегович Пришляк1Roman Shchurko2Taras Shevchenko University of KyivTaras Shevchenko University of KyivTaras Shevchenko University of KyivWe consider optimal Morse flows on closed surfaces. Up to topological trajectory equivalence such flows are determined by marked chord diagrams. We present list all such diagrams for flows on nonorientable surfaces of genus at most 4 and indicate pairs of diagrams corresponding to the flows and their inverses.//journals.onaft.edu.ua/index.php/geometry/article/view/916Morsetopological classificationflowchord diagram |
| spellingShingle | Злата Кибалко Олександр Олегович Пришляк Roman Shchurko Trajectory equivalence of optimal Morse flows on closed surfaces Pracì Mìžnarodnogo Geometričnogo Centru Morse topological classification flow chord diagram |
| title | Trajectory equivalence of optimal Morse flows on closed surfaces |
| title_full | Trajectory equivalence of optimal Morse flows on closed surfaces |
| title_fullStr | Trajectory equivalence of optimal Morse flows on closed surfaces |
| title_full_unstemmed | Trajectory equivalence of optimal Morse flows on closed surfaces |
| title_short | Trajectory equivalence of optimal Morse flows on closed surfaces |
| title_sort | trajectory equivalence of optimal morse flows on closed surfaces |
| topic | Morse topological classification flow chord diagram |
| url | http:////journals.onaft.edu.ua/index.php/geometry/article/view/916 |
| work_keys_str_mv | AT zlatakibalko trajectoryequivalenceofoptimalmorseflowsonclosedsurfaces AT oleksandrolegovičprišlâk trajectoryequivalenceofoptimalmorseflowsonclosedsurfaces AT romanshchurko trajectoryequivalenceofoptimalmorseflowsonclosedsurfaces |