Counting fixed points free vector fields on $\mathbb{B}^{2}$
| Autor: | Stefanov, Simeon T. |
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| Rok vydání: | 2018 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | The number of diagrams of stationary points free vector fields in the 2-disk $\mathbb{B}^{2}$ is counted in the article. It is shown that the number of such diagrams with $2k$ exceptional points on the boundary $\mathbb{S}^{1}$ equals $3^{k-2}(C_{k}+2C_{k-1})$, where $C_{k}$ is the corresponding Catalan number. An algorithm for finding all such diagrams is discussed. Comment: 14 pages, 11 figures |
| Databáze: | arXiv |
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