Degree of roots of disk twists on 3-dimensional handlebodies
Abstract Margalit and Schleimer (Geom Topol 13(3):1495–1497, 2009) discovered a nontrivial root of the Dehn twist about a nonseparating curve on a closed oriented connected surface. McCullough and Rajeevsarathy (Geom Dedicata 151(1):397–409, 2011) and Monden (Rocky Mt J Math, to appear) obtained the...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Hirose, Susumu [verfasserIn] |
|---|
| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2012 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media B.V. 2012 |
|---|
| Übergeordnetes Werk: |
Enthalten in: Geometriae dedicata - Springer Netherlands, 1972, 164(2012), 1 vom: 14. Aug., Seite 73-82 |
|---|---|
| Übergeordnetes Werk: |
volume:164 ; year:2012 ; number:1 ; day:14 ; month:08 ; pages:73-82 |
| Links: |
|---|
| DOI / URN: |
10.1007/s10711-012-9759-4 |
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OLC203906155X |
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10.1007/s10711-012-9759-4 doi (DE-627)OLC203906155X (DE-He213)s10711-012-9759-4-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Hirose, Susumu verfasserin aut Degree of roots of disk twists on 3-dimensional handlebodies 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media B.V. 2012 Abstract Margalit and Schleimer (Geom Topol 13(3):1495–1497, 2009) discovered a nontrivial root of the Dehn twist about a nonseparating curve on a closed oriented connected surface. McCullough and Rajeevsarathy (Geom Dedicata 151(1):397–409, 2011) and Monden (Rocky Mt J Math, to appear) obtained the evaluation of the degrees of roots of Dehn twists. In this paper, we discuss existence and degrees of homeomorphisms whose power is equal to disk twist about a nonseparating disk in the mapping class group of the 3-dimensional handlebody. Mapping class group 3-Dimensional handlebody Disk twist Root Monden, Naoyuki aut Enthalten in Geometriae dedicata Springer Netherlands, 1972 164(2012), 1 vom: 14. Aug., Seite 73-82 (DE-627)129385301 (DE-600)183909-3 (DE-576)014772213 0046-5755 nnns volume:164 year:2012 number:1 day:14 month:08 pages:73-82 https://doi.org/10.1007/s10711-012-9759-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2088 GBV_ILN_4126 AR 164 2012 1 14 08 73-82 |
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Abstract Margalit and Schleimer (Geom Topol 13(3):1495–1497, 2009) discovered a nontrivial root of the Dehn twist about a nonseparating curve on a closed oriented connected surface. McCullough and Rajeevsarathy (Geom Dedicata 151(1):397–409, 2011) and Monden (Rocky Mt J Math, to appear) obtained the evaluation of the degrees of roots of Dehn twists. In this paper, we discuss existence and degrees of homeomorphisms whose power is equal to disk twist about a nonseparating disk in the mapping class group of the 3-dimensional handlebody. © Springer Science+Business Media B.V. 2012 |
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Abstract Margalit and Schleimer (Geom Topol 13(3):1495–1497, 2009) discovered a nontrivial root of the Dehn twist about a nonseparating curve on a closed oriented connected surface. McCullough and Rajeevsarathy (Geom Dedicata 151(1):397–409, 2011) and Monden (Rocky Mt J Math, to appear) obtained the evaluation of the degrees of roots of Dehn twists. In this paper, we discuss existence and degrees of homeomorphisms whose power is equal to disk twist about a nonseparating disk in the mapping class group of the 3-dimensional handlebody. © Springer Science+Business Media B.V. 2012 |
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Abstract Margalit and Schleimer (Geom Topol 13(3):1495–1497, 2009) discovered a nontrivial root of the Dehn twist about a nonseparating curve on a closed oriented connected surface. McCullough and Rajeevsarathy (Geom Dedicata 151(1):397–409, 2011) and Monden (Rocky Mt J Math, to appear) obtained the evaluation of the degrees of roots of Dehn twists. In this paper, we discuss existence and degrees of homeomorphisms whose power is equal to disk twist about a nonseparating disk in the mapping class group of the 3-dimensional handlebody. © Springer Science+Business Media B.V. 2012 |
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