
TL;DR
This paper constructs explicit examples of nontrivial roots of Dehn twists around nonseparating curves, advancing understanding of the algebraic structure of surface mapping class groups.
Contribution
It provides the first known explicit constructions of roots of Dehn twists about nonseparating curves.
Findings
Existence of nontrivial roots of Dehn twists established
Explicit constructions provided
Implications for mapping class group structure
Abstract
We construct nontrivial roots of Dehn twists about nonseparating curves.
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