Roots of crosscap slides and crosscap transpositions
| Autor: | Parlak, Anna, Stukow, Michał |
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| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Period Math Hung, 75, 413-419 (2017) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s10998-017-0210-3 |
| Popis: | Let $N_{g}$ denote a closed nonorientable surface of genus $g$. For $g \geq 2$ the mapping class group $\mathcal{M}(N_{g})$ is generated by Dehn twists and one crosscap slide ($Y$-homeomorphism) or by Dehn twists and a crosscap transposition. Margalit and Schleimer observed that Dehn twists have nontrivial roots. We give necessary and sufficient conditions for the existence of a root of a crosscap slide and a crosscap transposition. Comment: 6 pages, 2 figures; revised version |
| Databáze: | arXiv |
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