Characterization of Y2-Equivalence for Homology Cylinders

DOI10.1142/S0218216503002585zbMath1065.57024arXivmath/0203179OpenAlexW2158164997MaRDI QIDQ4474501

Gwénaël Massuyeau, Jean-Baptiste Meilhan

Publication date: 12 July 2004

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0203179

zbMATH Keywords

claspercloverfinite type invariantHomology cylinder

Mathematics Subject Classification ID

Related Items (9)

Cohomology rings, Rochlin function, linking pairing and the Goussarov-Habiro theory of three-manifolds ⋮ Abelian quotients of the \(Y\)-filtration on the homology cylinders via the LMO functor ⋮ An application of TQFT to modular representation theory ⋮ Surgery equivalence relations for 3-manifolds ⋮ Finite type invariants and fatgraphs ⋮ Goussarov--Habiro theory for string links and the Milnor-Johnson correspondence ⋮ Symplectic Jacobi diagrams and the Lie algebra of homology cylinders ⋮ 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

Cites Work

• The structure of the Torelli group. III: The abelianization of \({\mathcal S}\)
• An abelian quotient of the mapping class group \(\mathfrak S\)
• Calculus of clovers and finite type invariants of 3-manifolds
• Claspers and finite type invariants of links
• Homology and central series of groups
• Finite type invariants and n-equivalence of 3-manifolds
• Homology cylinders: an enlargement of the mapping class group

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