Homomorphisms between mapping class groups

DOI10.2140/gt.2012.16.2285zbMath1262.57003arXiv1011.1855OpenAlexW3101672505MaRDI QIDQ1938768

Javier Aramayona, Juan Souto

Publication date: 25 February 2013

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.1855

zbMATH Keywords

mapping class groupssuperrigidity

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (21)

Normal generators for mapping class groups are abundant ⋮ Lower central series, surface braid groups, surjections and permutations ⋮ Holomorphic maps between moduli spaces ⋮ Automorphisms of the mapping class group of a nonorientable surface ⋮ A remark on homomorphisms from right-angled Artin groups to mapping class groups ⋮ From braid groups to mapping class groups ⋮ Irrationality and monodromy for cubic threefolds ⋮ Homomorphisms of commutator subgroups of braid groups ⋮ Algebraic and topological properties of big mapping class groups ⋮ Contractible, hyperbolic but non-CAT(0) complexes ⋮ Mapping class groups, multiple Kodaira fibrations, and CAT(0) spaces ⋮ Symmetry, isotopy, and irregular covers ⋮ Continuity of discrete homomorphisms of diffeomorphism groups ⋮ Low-dimensional linear representations of the mapping class group of a nonorientable surface ⋮ The universal n-pointed surface bundle only has n sections ⋮ Big Mapping Class Groups: An Overview ⋮ Geometric simplicial embeddings of arc-type graphs ⋮ Asymptotic mapping class groups of closed surfaces punctured along Cantor sets ⋮ Triviality of some representations of 𝑀𝐶𝐺(𝑆_{𝑔}) in 𝐺𝐿(𝑛,ℂ),𝔻𝕚𝕗𝕗(𝕊²) and ℍ𝕠𝕞𝕖𝕠(𝕋²) ⋮ On the smallest non-trivial quotients of mapping class groups ⋮ Acylindrical hyperbolicity and existential closedness

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