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ON PRODUCTS OF PSEUDO-ANOSOV MAPS AND DEHN TWISTS OF RIEMANN SURFACES WITH PUNCTURES
Gespeichert in:
| Zeitschriftentitel: | Journal of the Australian Mathematical Society |
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| Personen und Körperschaften: | |
| In: | Journal of the Australian Mathematical Society, 88, 2010, 3, S. 413-428 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Cambridge University Press (CUP)
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| Schlagwörter: |
| Zusammenfassung: | <jats:title>Abstract</jats:title><jats:p>Let <jats:italic>S</jats:italic> be a Riemann surface of type (<jats:italic>p</jats:italic>,<jats:italic>n</jats:italic>) with 3<jats:italic>p</jats:italic>+<jats:italic>n</jats:italic>>4 and <jats:italic>n</jats:italic>≥1. We investigate products of some pseudo-Anosov maps <jats:italic>θ</jats:italic> and Dehn twists <jats:italic>t</jats:italic><jats:sub><jats:italic>α</jats:italic></jats:sub> on <jats:italic>S</jats:italic>, and prove that under certain conditions the products <jats:italic>t</jats:italic><jats:sup arrange="stack"><jats:italic>k</jats:italic></jats:sup><jats:sub arrange="stack"><jats:italic>α</jats:italic></jats:sub>∘<jats:italic>θ</jats:italic> are pseudo-Anosov for all integers <jats:italic>k</jats:italic>. We also give examples that show that <jats:italic>t</jats:italic><jats:sup arrange="stack"><jats:italic>k</jats:italic></jats:sup><jats:sub arrange="stack"><jats:italic>α</jats:italic></jats:sub>∘<jats:italic>θ</jats:italic> are not pseudo-Anosov for some integers <jats:italic>k</jats:italic>.</jats:p> |
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| Umfang: | 413-428 |
| ISSN: |
1446-7887
1446-8107 |
| DOI: | 10.1017/s1446788710000078 |