Symplectic Jacobi diagrams and the Lie algebra of homology cylinders

DOI10.1112/jtopol/jtp020zbMath1202.57014arXiv0712.0093OpenAlexW2059966086WikidataQ115256520 ScholiaQ115256520MaRDI QIDQ3644318

Gwénaël Massuyeau, Kazuo Habiro

Publication date: 4 November 2009

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.0093

zbMATH Keywords

Lie algebraTorelli groupJacobi diagramLe-Murakami-Ohtsuki invariant

Mathematics Subject Classification ID

Other groups related to topology or analysis (20F38) Commutator calculus (20F12) Associated Lie structures for groups (20F40) Differential topological aspects of diffeomorphisms (57R50)

Related Items

Abelian quotients of the \(Y\)-filtration on the homology cylinders via the LMO functor ⋮ On the Torelli Lie algebra ⋮ A non-commutative Reidemeister-Turaev torsion of homology cylinders ⋮ Surgery equivalence relations for 3-manifolds ⋮ Tree homology and a conjecture of Levine ⋮ Morita’s trace maps on the group of homology cobordisms ⋮ The pure virtual braid group is quadratic. ⋮ Characteristic classes of moduli spaces— Riemann surface, graph, homology cobordism ⋮ Splitting formulas for the LMO invariant of rational homology three-spheres ⋮ The Kontsevich integral for bottom tangles in handlebodies ⋮ An extension of the LMO functor ⋮ 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 ⋮ Geometric filtrations of string links and homology cylinders

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