Abstract
Margalit and Schleimer [4] 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 [5, 6] for pseudo-periodic maps of negative twists. As an application, we determine the range of degree for roots of a Dehn twist.
Original language | English |
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Pages (from-to) | 987-1001 |
Number of pages | 15 |
Journal | Rocky Mountain Journal of Mathematics |
Volume | 44 |
Issue number | 3 |
DOIs | |
Publication status | Published - Jan 1 2014 |
Externally published | Yes |
ASJC Scopus subject areas
- Mathematics(all)