On roots of dehn twists

Naoyuki Monden

doi:10.1216/RMJ-2014-44-3-987

On roots of dehn twists

Naoyuki Monden

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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
Pages (from-to)	987-1001
Number of pages	15
Journal	Rocky Mountain Journal of Mathematics
Volume	44
Issue number	3
DOIs	https://doi.org/10.1216/RMJ-2014-44-3-987
Publication status	Published - Jan 1 2014
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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On roots of dehn twists

Abstract

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