Topology of Morse flows with fixed points on the boundary of complete handlebody

• Дата: 2015
• Автори: Prishlyak, O. O., Skochko, D. M., Пришляк, O. O., Скочко, Д. M.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Інститут математики НАН України 2015
• Онлайн доступ: https://trim.imath.kiev.ua/index.php/trim/article/view/148
• Назва журналу: Transactions of Institute of Mathematics of NAS of Ukraine

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...