Degree of roots of disk twists on 3-dimensional handlebodies

作者：Hirose Susumu; Monden Naoyuki^*

来源：Geometriae Dedicata, 2013, 164(1): 73-82.

DOI：10.1007/s10711-012-9759-4

• Mapping class group
• 3-Dimensional handlebody
• Disk twist
• Root

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.

• 出版日期2013-6