A survey of the Johnson homomorphisms of the automorphism groups of free groups and related topics

Takao Satoh

A survey of the Johnson homomorphisms of the automorphism groups of free groups and related topics

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arxiv 1204.0876 v2 pith:AMYJARSS submitted 2012-04-04 math.AT math.GR

Takao Satoh This is my paper · ORCID

classification math.ATmath.GR

keywords groupshomomorphismsjohnsonautomorphismfreerelatedsurveytopics

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This is a biased survey for the Johnson homomorphisms of the automorphism groups of free groups. We just exposit some well known facts and recent developments for the Johnson homomorphisms and its related topics.

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Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups
math.GT 2025-09 conditional novelty 6.0 of 10

For the handlebody Torelli groups HI and HBI, the kernels of the Johnson-detected cup product maps in second rational cohomology are computed explicitly as sums of irreducible SL_g(Q) modules.

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