Two questions on mapping class groups

DOI10.1090/S0002-9939-2010-10555-5zbMath1239.57004arXiv0910.1491OpenAlexW2161267268MaRDI QIDQ3082305

Luois Funar

Publication date: 10 March 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.1491

zbMATH Keywords

mapping class groupcentral extensionquantum representation

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Other groups related to topology or analysis (20F38)

Related Items

Low‐dimensional linear representations of mapping class groups ⋮ Residual properties of automorphism groups of (relatively) hyperbolic groups. ⋮ Triviality of some representations of 𝑀𝐶𝐺(𝑆_{𝑔}) in 𝐺𝐿(𝑛,ℂ),𝔻𝕚𝕗𝕗(𝕊²) and ℍ𝕠𝕞𝕖𝕠(𝕋²)

Cites Work

• Group actions and Helly's theorem
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• Quantum \(SU(2)\) faithfully detects mapping class groups modulo center
• Rank-1 phenomena for mapping class groups
• On central extensions of mapping class groups
• Asymptotic faithfulness of the quantum \(\text{SU}(n)\) representations of the mapping class groups
• Semisimple actions of mapping class groups on CAT(0) spaces
• The second homology groups of mapping class groups of orientable surfaces
• A group theoretic criterion for property FA
• Presentation and central extensions of mapping class groups
• On the dimension of CAT(0) spaces where mapping class groups act
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