Johnson's homomorphisms of subgroups of the mapping class group, the Magnus expansion and Massey higher products of mapping tori

DOI10.1016/0166-8641(95)00077-1zbMath0852.55022OpenAlexW2071559421MaRDI QIDQ1916447

Teruaki Kitano

Publication date: 5 September 1996

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

Full work available at URL: https://doi.org/10.1016/0166-8641(95)00077-1

zbMATH Keywords

fundamental groupmapping class groupsurfacesMagnus expansionlower central seriesMassey product

Mathematics Subject Classification ID

Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Massey products (55S30)

Related Items (7)

\(p\)-Johnson homomorphisms and pro-\(p\) groups ⋮ Cocycles of nilpotent quotients of free groups ⋮ Characteristic classes of moduli spaces— Riemann surface, graph, homology cobordism ⋮ Meta-nilpotent quotients of mapping-torus groups and two topological invariants of quadratic forms ⋮ Canonical extensions of the Johnson homomorphisms to the Torelli groupoid ⋮ Pointed harmonic volume and its relation to the extended Johnson homomorphism ⋮ Johnson-Morita theory in mapping class groups and monoids of homology cobordisms of surfaces

Cites Work

• Unnamed Item
• An abelian quotient of the mapping class group \(\mathfrak S\)
• Abelian quotients of subgroups of the mapping class group of surfaces
• Casson's invariant for homology 3-spheres and characteristic classes of surface bundles. I
• A survey of the Torelli group
• Massey Products and Lower Central Series of Free Groups

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