\(\mathcal K_g\) is not finitely generated
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Publication:811859
DOI10.1007/s00222-005-0472-xzbMath1155.57017arXivmath/0405386OpenAlexW2963384512MaRDI QIDQ811859
Publication date: 23 January 2006
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0405386
General low-dimensional topology (57M99) Other groups related to topology or analysis (20F38) Representations of groups as automorphism groups of algebraic systems (20F29) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)
Related Items
Erratum: \(\mathcal{K}_{g}\) is not finitely generated ⋮ Commensurations of the Johnson kernel ⋮ The Birman-Craggs-Johnson homomorphism and abelian cycles in the Torelli group ⋮ Torelli groups, extended Johnson homomorphisms, and new cycles on the moduli space of curves ⋮ Arithmetic group symmetry and finiteness properties of Torelli groups ⋮ The second Johnson homomorphism and the second rational cohomology of the Johnson kernel ⋮ Canonical extensions of the Johnson homomorphisms to the Torelli groupoid
Cites Work
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- 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
- Homological infiniteness of Torelli groups