Triviality of some representations of 𝑀𝐶𝐺(𝑆_{𝑔}) in 𝐺𝐿(𝑛,ℂ),𝔻𝕚𝕗𝕗(𝕊²) and ℍ𝕠𝕞𝕖𝕠(𝕋²)

DOI10.1090/S0002-9939-2013-11556-XzbMath1353.20026arXiv1102.4584OpenAlexW1561164882MaRDI QIDQ2845444

John Franks, Michael Handel

Publication date: 30 August 2013

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

Full work available at URL: https://arxiv.org/abs/1102.4584

zbMATH Keywords

genus \(g\) surfacerepresentations of the mapping class group

Mathematics Subject Classification ID

Geometric group theory (20F65) Representations of groups as automorphism groups of algebraic systems (20F29) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (6)

Low‐dimensional linear representations of mapping class groups ⋮ Global fixed points of mapping class group actions and a theorem of Markovic ⋮ Crossed homomorphisms and low dimensional representations of mapping class groups of surfaces ⋮ Low-dimensional linear representations of the mapping class group of a nonorientable surface ⋮ On the smallest non-trivial quotients of mapping class groups ⋮ On visualization of the linearity problem for mapping class groups of surfaces

Cites Work

• \(C^1\) actions on the mapping class groups on the circle
• A generalization of the Reeb stability theorem
• Homomorphisms between mapping class groups
• Two questions on mapping class groups
• Non-singular Periodic Flows on T³ and Periodic Homeomorphisms of T²
• Two Theorems on the Mapping Class Group of a Surface
• On the dimension of CAT(0) spaces where mapping class groups act
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