Johnson–Levine homomorphisms and the tree reduction of the LMO functor

DOI10.1017/S0305004119000410zbMath1492.57010arXiv1712.00073OpenAlexW2990420223MaRDI QIDQ4958686

Anderson Vera

Publication date: 14 September 2021

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.00073

zbMATH Keywords

Johnson homomorphismhomology cobordismLMO functorLagrangian mapping class group

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Related Items (1)

Alternative versions of the Johnson homomorphisms and the LMO functor

Cites Work

• Unnamed Item
• Unnamed Item
• Lagrangian mapping class groups from a group homological point of view
• Irreducible Sp-representations and subgroup distortion in the mapping class group
• Labeled binary planar trees and quasi-Lie algebras
• A functorial LMO invariant for Lagrangian cobordisms
• The structure of the Torelli group. III: The abelianization of \({\mathcal S}\)
• Homotopy invariants of links
• On the structure of the Torelli group and the Casson invariant
• An abelian quotient of the mapping class group \(\mathfrak S\)
• Abelian quotients of subgroups of the mapping class group of surfaces
• On a universal perturbative invariant of 3-manifolds
• Casson invariant, signature defect of framed manifolds and the secondary characteristic classes of surface bundles
• The Kontsevich integral and Milnor's invariants
• Casson's invariant for homology 3-spheres and characteristic classes of surface bundles. I
• The Århus integral of rational homology 3-spheres. I: A highly non trivial flat connection on \(S ^3\)
• The Århus integral of rational homology 3-spheres. II: Invariance and universality
• Addendum and correction to: ``Homology cylinders: an enlargement of the mapping class group
• Claspers and finite type invariants of links
• Homology and central series of groups
• Automorphisms of a 3-dimensional handlebody
• Equivalence relations for homology cylinders and the core of the Casson invariant
• Milnor invariants and twisted Whitney towers
• Infinitesimal Morita homomorphisms and the tree-level of the LMO invariant
• From mapping class groups to monoids of homology cobordisms: a survey
• A survey of the Torelli group
• k-Cobordism for Links in S 3
• The Lagrangian filtration of the mapping class group and finite-type invariants of homology spheres
• The Classification of Links up to Link-Homotopy
• Derivatives of links: Milnor’s concordance invariants and Massey’s products
• On Homeomorphisms of a 3-Dimensional Handlebody
• On Link Concordance and Milnor's μ Invariants
• Finite type invariants and n-equivalence of 3-manifolds
• Homology cylinders: an enlargement of the mapping class group

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