New series in the Johnson cokernels of the mapping class groups of surfaces.

DOI10.2140/agt.2014.14.627zbMath1347.20049arXiv1012.2175OpenAlexW2963762431MaRDI QIDQ2441254

Naoya Enomoto, Takao Satoh

Publication date: 24 March 2014

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.2175

zbMATH Keywords

irreducible modulesmapping class groupsJohnson homomorphism

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Topological methods in group theory (57M07) General geometric structures on low-dimensional manifolds (57M50) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Associated Lie structures for groups (20F40)

Related Items (11)

Johnson homomorphisms ⋮ A non-commutative Reidemeister-Turaev torsion of homology cylinders ⋮ Morita’s trace maps on the group of homology cobordisms ⋮ Characteristic classes of moduli spaces— Riemann surface, graph, homology cobordism ⋮ Higher genus Kashiwara-Vergne problems and the Goldman-Turaev Lie bialgebra ⋮ An Abelian Quotient of the Symplectic Derivation Lie Algebra of the Free Lie Algebra ⋮ Intersection of curves on surfaces and their applications to mapping class groups ⋮ Structure of symplectic invariant Lie subalgebras of symplectic derivation Lie algebras ⋮ A comparison of classes in the Johnson cokernels of the mapping class groups of surfaces ⋮ Johnson-Morita theory in mapping class groups and monoids of homology cobordisms of surfaces ⋮ The Johnson cokernel and the Enomoto-Satoh invariant

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