Morita’s trace maps on the group of homology cobordisms

DOI10.1142/S179352531950064XzbMath1485.20097arXiv1606.08244OpenAlexW2963470135MaRDI QIDQ5117604

Takuya Sakasai, Gwénaël Massuyeau

Publication date: 26 August 2020

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

Full work available at URL: https://arxiv.org/abs/1606.08244

zbMATH Keywords

mapping class groupJohnson homomorphismhomology cobordismMagnus representationautomorphism group of a free groupMorita's trace

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Other groups related to topology or analysis (20F38) Automorphism groups of groups (20F28) Fundamental group, presentations, free differential calculus (57M05) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Derived series, central series, and generalizations for groups (20F14) Cobordism and concordance in topological manifolds (57N70) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20) General topology of 3-manifolds (57K30)

Related Items (7)

On finite generation of the Johnson filtrations ⋮ A non-commutative Reidemeister-Turaev torsion of homology cylinders ⋮ Characteristic classes of moduli spaces— Riemann surface, graph, homology cobordism ⋮ An Abelian Quotient of the Symplectic Derivation Lie Algebra of the Free Lie Algebra ⋮ Johnson-Morita theory in mapping class groups and monoids of homology cobordisms of surfaces ⋮ On the stable Andreadakis problem ⋮ Lagrangian traces for the Johnson filtration of the handlebody group

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