An \(\text{Sp}(2g;{\mathbb Z}_{2})\)-module structure of the cokernel of the second Johnson homomorphism

DOI10.1016/S0166-8641(01)00279-6zbMath1025.57024OpenAlexW2053378984MaRDI QIDQ1612184

Yuji Yokomizo

Publication date: 22 August 2002

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(01)00279-6

zbMATH Keywords

Torelli groupJohnson homomorphismBirman-Craggs homomorphism

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (3)

The handlebody group and the images of the second Johnson homomorphism ⋮ Johnson-Morita theory in mapping class groups and monoids of homology cobordisms of surfaces ⋮ Equivalence relations for homology cylinders and the core of the Casson invariant

Cites Work

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• The structure of the Torelli group. II: A characterization of the group generated by twists on bounding curves
• The structure of the Torelli group. III: The abelianization of \({\mathcal S}\)
• 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
• On graded quotient modules of mapping class groups of surfaces
• A survey of the Torelli group
• Quadratic Forms and the Birman-Craggs Homomorphisms
• The μ-Invariant of 3-Manifolds and Certain Structural Properties of the Group of Homeomorphisms of a Closed, Oriented 2-Manifold
• Homeomorphisms of a Surface which Act Trivially on Homology
• Infinitesimal presentations of the Torelli groups
• On the Generators of the Symplectic Modular Group

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