On graded quotient modules of mapping class groups of surfaces

DOI10.1007/BF02783208zbMath0851.57014OpenAlexW1991798331MaRDI QIDQ1895073

Mamoru Asada, Hiroaki Nakamura

Publication date: 24 November 1996

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02783208

zbMATH Keywords

surfacemapping class groupTorelli subgroup

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Other groups related to topology or analysis (20F38)

Related Items

Some stability properties of Teichmüller modular function fields with pro-\(l\) weight structures, Coupling of universal monodromy representations of Galois-Teichmüller modular groups, Morita’s trace maps on the group of homology cobordisms, The handlebody group and the images of the second Johnson homomorphism, New series in the Johnson cokernels of the mapping class groups of surfaces., Infinitesimal presentations of the Torelli groups, Galois rigidity of pro-𝑙 pure braid groups of algebraic curves, The Johnson homomorphism and the third rational cohomology group of the Torelli group, Generalized Johnson homomorphisms for extended N-series, Structure of symplectic invariant Lie subalgebras of symplectic derivation Lie algebras, Symplectic Jacobi diagrams and the Lie algebra of homology cylinders, Johnson-Morita theory in mapping class groups and monoids of homology cobordisms of surfaces, Braid monodromies on proper curves and pro-ℓ Galois representations, Equivalence relations for homology cylinders and the core of the Casson invariant, The compatibility of the filtration of mapping class groups of two surfaces pasted along the boundaries, An expansion of the Jones representation of genus \(2\) and the Torelli group, The Johnson cokernel and the Enomoto-Satoh invariant, An \(\text{Sp}(2g;{\mathbb Z}_{2})\)-module structure of the cokernel of the second Johnson homomorphism

Cites Work

• Young-diagrammatic methods for the representation theory of the classical groups of type \(B_ n\), \(C_ n\), \(D_ n\)
• An abelian quotient of the mapping class group \(\mathfrak S\)
• Abelian quotients of subgroups of the mapping class group of surfaces
• Two properties of the filtration of the outer automorphism groups of certain groups
• Casson's invariant for homology 3-spheres and characteristic classes of surface bundles. I
• On the descending central series of groups with a single defining relation
• On the Representations of the Symmetric Group
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item