Integral homology $3$-spheres and the Johnson filtration
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Publication:3506698
DOI10.1090/S0002-9947-08-04208-6zbMath1149.57033OpenAlexW2045924132MaRDI QIDQ3506698
Publication date: 17 June 2008
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-08-04208-6
General low-dimensional topology (57M99) Other groups related to topology or analysis (20F38) Commutator calculus (20F12)
Related Items
Triviality of the 𝐽₄-equivalence among homology 3-spheres ⋮ Torelli group, Johnson kernel, and invariants of homology spheres ⋮ Surgery equivalence relations for 3-manifolds ⋮ Invariants of \(\mathbb{Z}/p\)-homology 3-spheres from the abelianization of the level-\(p\) mapping class group ⋮ 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 ⋮ Two mod-p Johnson filtrations ⋮ Lagrangian traces for the Johnson filtration of the handlebody group
Cites Work
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- The structure of the Torelli group. II: A characterization of the group generated by twists on bounding curves
- Abelian quotients of subgroups of the mapping class group of surfaces
- The Kontsevich integral and Milnor's invariants
- Versal extensions and automorphisms of free nilpotent groups
- On the Vassiliev knot invariants
- Casson's invariant for homology 3-spheres and characteristic classes of surface bundles. I
- Automorphisms of a 3-dimensional handlebody
- On Homeomorphisms of a 3-Dimensional Handlebody
- Differential Topology
- A New Proof of the Reidemeister-Singer Theorem on Stable Equivalence of Heegaard Splittings
- TREE LEVEL LIE ALGEBRA STRUCTURES OF PERTURBATIVE INVARIANTS
- Three-Dimensional Manifolds and Their Heegaard Diagrams
- Untersuchungen zur Topologie der geschlossenen zweiseitigen Flächen. III
- Homology cylinders: an enlargement of the mapping class group
- Une construction intrinsèque du cœur de l'invariant de Casson. (An intrinsic construction of the core of Casson's invariant)
