The topological IHX relation, pure braids, and the Torelli group

DOI10.1215/S0012-9074-02-11222-8zbMath1023.20020OpenAlexW2024642155MaRDI QIDQ1847912

Nathan Habegger, Sylvain Gervais

Publication date: 27 October 2002

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-9074-02-11222-8

zbMATH Keywords

pure braid groupslower central seriesTorelli groupsJacobi relation

Mathematics Subject Classification ID

Cites Work

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• The structure of the Torelli group. I: A finite set of generators for \({\mathcal I}\)
• 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 \({\mathcal S}\)
• A presentation for the mapping class group of a closed orientable surface
• On the structure of the Torelli group and the Casson invariant
• The Torelli groups for genus 2 and 3 surfaces
• On a universal perturbative invariant of 3-manifolds
• The Kontsevich integral and Milnor's invariants
• Casson's invariant for homology 3-spheres and characteristic classes of surface bundles. I
• Claspers and finite type invariants of links
• On Link Concordance and Milnor's μ Invariants
• Infinitesimal presentations of the Torelli groups
• THE TOPOLOGICAL IHX RELATION
• Finite type invariants and n-equivalence of 3-manifolds
• FINITE TYPE INVARIANTS OF INTEGRAL HOMOLOGY 3-SPHERES
• Geometric subgroups of mapping class groups

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