An abelian quotient of the mapping class group \(\mathfrak S\)
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Publication:1259054
DOI10.1007/BF01363897zbMath0409.57009OpenAlexW1978971832MaRDI QIDQ1259054
Publication date: 1980
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/163403
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A combinatorial construction of symplectic expansions ⋮ The mixed Hodge structure on the fundamental group of hyperelliptic curves and higher cycles ⋮ Quadratic vector classes on Riemann surfaces ⋮ Casson's invariant for homology 3-spheres and the mapping class group ⋮ APPLICATIONS OF THE LANTERN IDENTITY ⋮ On graded quotient modules of mapping class groups of surfaces ⋮ On the image of the Burau representation of the IA-automorphism group of a free group. ⋮ Casson's invariant for homology 3-spheres and characteristic classes of surface bundles ⋮ The abelianization of a symmetric mapping class group ⋮ On finiteness properties of the Johnson filtrations ⋮ A minimal generating set of the level 2 mapping class group of a non-orientable surface ⋮ A homology-valued invariant for trivalent fatgraph spines ⋮ \(p\)-Johnson homomorphisms and pro-\(p\) groups ⋮ Johnson homomorphisms ⋮ An action of subgroups of mapping class groups on polynomial algebras ⋮ Johnson's homomorphisms of subgroups of the mapping class group, the Magnus expansion and Massey higher products of mapping tori ⋮ On the second homology group of the Torelli subgroup of \(\Aut(F_n)\) ⋮ The Torelli group and the Kauffman bracket skein module ⋮ Cocycles of nilpotent quotients of free groups ⋮ On an extension of the Birman-Craggs-Johnson homomorphism ⋮ Marked fatgraph complexes and surface automorphisms ⋮ The Birman-Craggs-Johnson homomorphism and abelian cycles in the Torelli group ⋮ COLORING CURVES ON SURFACES ⋮ On the Universal SL2-Representation Rings of Free Groups ⋮ The Picard group of the moduli space of curves with level structures ⋮ Torelli group, Johnson kernel, and invariants of homology spheres ⋮ Torelli groups, extended Johnson homomorphisms, and new cycles on the moduli space of curves ⋮ On the lower central series of the IA-automorphism group of a free group. ⋮ Lagrangian mapping class groups from a group homological point of view ⋮ On the rings of Fricke characters of free abelian groups ⋮ Arithmetic group symmetry and finiteness properties of Torelli groups ⋮ On the completion of the mapping class group of genus two ⋮ A Birman exact sequence for \(\Aut(F_n)\). ⋮ Alternative versions of the Johnson homomorphisms and the LMO functor ⋮ On the augmentation quotients of the IA-automorphism group of a free group. ⋮ On the derivation algebra of the free Lie algebra and trace maps ⋮ The handlebody group and the images of the second Johnson homomorphism ⋮ New series in the Johnson cokernels of the mapping class groups of surfaces. ⋮ Finite type invariants and fatgraphs ⋮ Calculus of clovers and finite type invariants of 3-manifolds ⋮ The abelianization of the Johnson kernel ⋮ Johnson filtration and Torelli group, modulo \(p,p\) a prime ⋮ The Johnson filtration of the McCool stabilizer subgroup of the automorphism group of a free group ⋮ Claspers and finite type invariants of links ⋮ The Casson invariant and the word metric on the Torelli group ⋮ On the graded quotients of the \(\operatorname{SL}_m\)-representation algebras of groups ⋮ Pseudo-Anosov homeomorphisms and the lower central series of a surface group ⋮ The Chillingworth class is a signed stable length ⋮ Extending Johnson's and Morita's homomorphisms to the mapping class group ⋮ Monodromy and vanishing cycles in toric surfaces ⋮ Geometric intersection in representations of mapping class groups of surfaces ⋮ SOME FINITENESS PROPERTIES FOR THE REIDEMEISTER–TURAEV TORSION OF THREE-MANIFOLDS ⋮ SIMPLY INTERSECTING PAIR MAPS IN THE MAPPING CLASS GROUP ⋮ Cup products in surface bundles, higher Johnson invariants, and MMM classes ⋮ A linear representation of the mapping class group \(\mathcal M\) and the theory of winding numbers ⋮ The Johnson homomorphism and its kernel ⋮ Trivial cocycles and invariants of homology 3-spheres ⋮ The third subgroup of the Andreadakis-Johnson filtration of the automorphism group of a free group ⋮ EXTENSIONS OF JOHNSON'S AND MORITA'S HOMOMORPHISMS THAT MAP TO FINITELY GENERATED ABELIAN GROUPS ⋮ On the sections of universal hyperelliptic curves ⋮ Infinite generation of the kernels of the Magnus and Burau representations. ⋮ The dimension of the Torelli group ⋮ Automorphisms of the Torelli complex and the complex of separating curves ⋮ The Johnson homomorphism and the third rational cohomology group of the Torelli group ⋮ On the Andreadakis-Johnson filtration of the automorphism group of a free group. ⋮ Homomorphic extensions of Johnson homomorphims via Fox calculus. ⋮ Mapping class group and the Casson invariant. ⋮ Jumps in the Archimedean height ⋮ On the fourth Johnson homomorphism of the automorphism group of a free group. ⋮ Representation stability for filtrations of Torelli groups ⋮ Generalized Johnson homomorphisms for extended N-series ⋮ Families of Jacobian manifolds and characteristic classes of surface bundles. 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Cites Work
- The winding number on two-manifolds
- Quadratic Forms and the Birman-Craggs Homomorphisms
- Braids, Links, and Mapping Class Groups. (AM-82)
- The μ-Invariant of 3-Manifolds and Certain Structural Properties of the Group of Homeomorphisms of a Closed, Oriented 2-Manifold
- Two Theorems on the Mapping Class Group of a Surface
- Homeomorphisms of a Surface which Act Trivially on Homology
- Introduction to Algebraic K-Theory. (AM-72)
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