Abstract
We give a bound for the exponents of powers of Dehn twists to generate a right-angled Artin group. Precisely, if is a finite collection of pairwise distinct simple closed curves on a surface and if denotes the maximum of the intersection numbers of all pairs of curves in , then we prove that generates a right-angled Artin group for all . This extends a previous result of Koberda, who proved the existence of a bound possibly depending on the underlying hyperbolic structure of the surface. In the course of the proof, we obtain a universal bound depending only on the topological type of the surface in certain cases, which partially answers a question due to Koberda.
Citation
Donggyun Seo. "Powers of Dehn twists generating right-angled Artin groups." Algebr. Geom. Topol. 21 (3) 1511 - 1533, 2021. https://doi.org/10.2140/agt.2021.21.1511
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