Abstract
Margalit and Schleimer \cite{MS} discovered a nontrivial root of the Dehn twist about a nonseparating curve on a closed oriented connected surface. We give a complete set of conjugacy invariants for such a root by using a classification theorem of Matsumoto and Montesinos \cite{MM1, MM2} for pseudo-periodic maps of negative twists. As an application, we determine the range of degree for roots of a Dehn twist.
Citation
Naoyuki Monden. "On roots of Dehn twists." Rocky Mountain J. Math. 44 (3) 987 - 1001, 2014. https://doi.org/10.1216/RMJ-2014-44-3-987
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