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ON PRODUCTS OF PSEUDO-ANOSOV MAPS AND DEHN TWISTS OF RIEMANN SURFACES WITH PUNCTURES
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| Zeitschriftentitel: | Journal of the Australian Mathematical Society |
|---|---|
| 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: |
| author_facet |
ZHANG, C. ZHANG, C. |
|---|---|
| author |
ZHANG, C. |
| spellingShingle |
ZHANG, C. Journal of the Australian Mathematical Society ON PRODUCTS OF PSEUDO-ANOSOV MAPS AND DEHN TWISTS OF RIEMANN SURFACES WITH PUNCTURES General Mathematics |
| author_sort |
zhang, c. |
| spelling |
ZHANG, C. 1446-7887 1446-8107 Cambridge University Press (CUP) General Mathematics http://dx.doi.org/10.1017/s1446788710000078 <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> ON PRODUCTS OF PSEUDO-ANOSOV MAPS AND DEHN TWISTS OF RIEMANN SURFACES WITH PUNCTURES Journal of the Australian Mathematical Society |
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10.1017/s1446788710000078 |
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Online Free |
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Cambridge University Press (CUP), 2010 |
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Cambridge University Press (CUP), 2010 |
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1446-7887 1446-8107 |
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1446-7887 1446-8107 |
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English |
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Cambridge University Press (CUP) (CrossRef) |
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2010 |
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Cambridge University Press (CUP) |
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Journal of the Australian Mathematical Society |
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49 |
| title |
ON PRODUCTS OF PSEUDO-ANOSOV MAPS AND DEHN TWISTS OF RIEMANN SURFACES WITH PUNCTURES |
| title_unstemmed |
ON PRODUCTS OF PSEUDO-ANOSOV MAPS AND DEHN TWISTS OF RIEMANN SURFACES WITH PUNCTURES |
| title_full |
ON PRODUCTS OF PSEUDO-ANOSOV MAPS AND DEHN TWISTS OF RIEMANN SURFACES WITH PUNCTURES |
| title_fullStr |
ON PRODUCTS OF PSEUDO-ANOSOV MAPS AND DEHN TWISTS OF RIEMANN SURFACES WITH PUNCTURES |
| title_full_unstemmed |
ON PRODUCTS OF PSEUDO-ANOSOV MAPS AND DEHN TWISTS OF RIEMANN SURFACES WITH PUNCTURES |
| title_short |
ON PRODUCTS OF PSEUDO-ANOSOV MAPS AND DEHN TWISTS OF RIEMANN SURFACES WITH PUNCTURES |
| title_sort |
on products of pseudo-anosov maps and dehn twists of riemann surfaces with punctures |
| topic |
General Mathematics |
| url |
http://dx.doi.org/10.1017/s1446788710000078 |
| publishDate |
2010 |
| physical |
413-428 |
| description |
<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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| author | ZHANG, C. |
| author_facet | ZHANG, C., ZHANG, C. |
| author_sort | zhang, c. |
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| container_title | Journal of the Australian Mathematical Society |
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| description | <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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| id | ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTAxNy9zMTQ0Njc4ODcxMDAwMDA3OA |
| imprint | Cambridge University Press (CUP), 2010 |
| imprint_str_mv | Cambridge University Press (CUP), 2010 |
| institution | DE-105, DE-14, DE-Ch1, DE-L229, DE-D275, DE-Bn3, DE-Brt1, DE-Zwi2, DE-D161, DE-Gla1, DE-Zi4, DE-15, DE-Pl11, DE-Rs1 |
| issn | 1446-7887, 1446-8107 |
| issn_str_mv | 1446-7887, 1446-8107 |
| language | English |
| last_indexed | 2024-03-01T11:26:57.827Z |
| match_str | zhang2010onproductsofpseudoanosovmapsanddehntwistsofriemannsurfaceswithpunctures |
| mega_collection | Cambridge University Press (CUP) (CrossRef) |
| physical | 413-428 |
| publishDate | 2010 |
| publishDateSort | 2010 |
| publisher | Cambridge University Press (CUP) |
| record_format | ai |
| recordtype | ai |
| series | Journal of the Australian Mathematical Society |
| source_id | 49 |
| spelling | ZHANG, C. 1446-7887 1446-8107 Cambridge University Press (CUP) General Mathematics http://dx.doi.org/10.1017/s1446788710000078 <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> ON PRODUCTS OF PSEUDO-ANOSOV MAPS AND DEHN TWISTS OF RIEMANN SURFACES WITH PUNCTURES Journal of the Australian Mathematical Society |
| spellingShingle | ZHANG, C., Journal of the Australian Mathematical Society, ON PRODUCTS OF PSEUDO-ANOSOV MAPS AND DEHN TWISTS OF RIEMANN SURFACES WITH PUNCTURES, General Mathematics |
| title | ON PRODUCTS OF PSEUDO-ANOSOV MAPS AND DEHN TWISTS OF RIEMANN SURFACES WITH PUNCTURES |
| title_full | ON PRODUCTS OF PSEUDO-ANOSOV MAPS AND DEHN TWISTS OF RIEMANN SURFACES WITH PUNCTURES |
| title_fullStr | ON PRODUCTS OF PSEUDO-ANOSOV MAPS AND DEHN TWISTS OF RIEMANN SURFACES WITH PUNCTURES |
| title_full_unstemmed | ON PRODUCTS OF PSEUDO-ANOSOV MAPS AND DEHN TWISTS OF RIEMANN SURFACES WITH PUNCTURES |
| title_short | ON PRODUCTS OF PSEUDO-ANOSOV MAPS AND DEHN TWISTS OF RIEMANN SURFACES WITH PUNCTURES |
| title_sort | on products of pseudo-anosov maps and dehn twists of riemann surfaces with punctures |
| title_unstemmed | ON PRODUCTS OF PSEUDO-ANOSOV MAPS AND DEHN TWISTS OF RIEMANN SURFACES WITH PUNCTURES |
| topic | General Mathematics |
| url | http://dx.doi.org/10.1017/s1446788710000078 |