%0 Journal Article
%T On roots of Dehn twists
%A Naoyuki Monden
%J Mathematics
%D 2009
%I arXiv
%X Margalit and Schleimer constructed nontrivial roots of the Dehn twist about a nonseparating curve. We prove that the conjugacy classes of roots of the Dehn twist about a nonseparating curve correspond to the conjugacy classes of periodic maps with certain conditions. Futhermore, we give data set which determine the conjugacy class of a root. As a consequence, we can find the minimum degree and the maximum degree, and show that the degree must be odd. Also, we give Dehn twist expression of the root of degree 3.
%U http://arxiv.org/abs/0911.5079v2