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The
normal closure of big Dehn twists and plate spinning with
rotating families
François Dahmani |
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Geometry & Topology 22 (2018) 4113–4144
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Abstract |
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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 consist 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. |
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Keywords
Dehn twist, mapping class group, rotating families,
projection complexes
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Mathematical Subject Classification 2010
Primary: 20E07, 20F65
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References |
Publication
Received: 5 May 2017
Revised: 28 March 2018
Accepted: 30 April 2018
Published: 6 December 2018
Proposed: Ian Agol
Seconded: Dmitri Burago, Peter Teichner
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Authors |
| François Dahmani | |
| Institut Fourier Université Grenoble Alpes Grenoble France |
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