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Article Dans Une Revue Geom. Topol. Année : 2018

The normal closure of big Dehn twists, and plate spinning with rotating families

François Dahmani

Résumé

We study the normal closure of a big power of one or several Dehn twists in a Mapping Class Group. We prove that it has a presentation whose relators consists only of commutators between twists of disjoint support, thus answering a question of Ivanov. Our method is to use the theory of projection complexes of Bestvina Bromberg and Fujiwara, together with the theory of rotating families, simultaneously on several spaces.

Dates et versions

hal-01648958 , version 1 (27-11-2017)

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François Dahmani. The normal closure of big Dehn twists, and plate spinning with rotating families. Geom. Topol., 2018, 22, pp.4113-4144. ⟨10.2140/gt.2018.22.4113⟩. ⟨hal-01648958⟩
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