A comparison of classes in the Johnson cokernels of the mapping class groups of surfaces

DOI10.1016/j.topol.2019.107052zbMath1435.57012arXiv1805.02563OpenAlexW2799816001WikidataQ126406884 ScholiaQ126406884MaRDI QIDQ2293016

Yusuke Kuno, Takao Satoh, Naoya Enomoto

Publication date: 6 February 2020

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.02563

zbMATH Keywords

mapping class groupsJohnson homomorphismJohnson cokernel

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Automorphism groups of groups (20F28) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Related Items (1)

Johnson homomorphisms

Cites Work

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• Structure of symplectic invariant Lie subalgebras of symplectic derivation Lie algebras
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• A survey of the Johnson homomorphisms of the automorphism groups of free groups and related topics
• Intersection of curves on surfaces and their applications to mapping class groups
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