Degree of roots of disk twists on 3-dimensional handlebodies |
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| Authors: | Susumu Hirose Naoyuki Monden |
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| Institution: | 1. Department of Mathematics, Faculty of Science and Technology, Tokyo University of Science, Noda, Chiba, 278–8510, Japan
2. Department of Mathematics, Graduate School of Science, Kyoto University, Kyoto, 606–8502, Japan
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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. |
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