On the automorphism group of the asymptotic pants complex of an infinite surface of genus zero

DOI10.1002/mana.201300243zbMath1405.57005arXiv1308.6143OpenAlexW1707993807MaRDI QIDQ2816984

Maxime Nguyen, Luois Funar

Publication date: 26 August 2016

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.6143

zbMATH Keywords

group actionspants complexinfinite type surfacesbraided Thompson groupuniversal mapping class group

Mathematics Subject Classification ID

Related Items (2)

Diffeomorphism groups of tame Cantor sets and Thompson-like groups ⋮ Asymptotic mapping class groups of closed surfaces punctured along Cantor sets

Cites Work

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• Simplicial embeddings between pants graphs
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• Automorphisms of complexes of curves on punctured spheres and on punctured tori
• Introductory notes on Richard Thompson's groups
• Automorphisms of the pants complex
• On a universal mapping class group of genus zero
• Automorphisms of the complex of curves
• Thompson's group \(\mathcal T\) is the orientation-preserving automorphism group of a cellular complex
• A presentation for the baseleaf preserving mapping class group of the punctured solenoid
• The braided Ptolemy-Thompson group is finitely presented.
• The group of parenthesized braids.
• Geometric presentations for Thompson's groups.
• On the arc and curve complex of a surface
• The algebra of strand splitting. I. A braided version of Thompson's group V

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