Authors construct obstructions to surjectivity of Johnson homomorphisms on basis-conjugating automorphism groups of free groups, determine the cokernels through degree four, and affirmatively resolve the Andreadakis problem in degree four.
Farb; Automorphisms of Fn which act trivially on homology, in preparation
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On the structures of the Johnson cokernels of the basis-conjugating automorphism groups of free groups
Authors construct obstructions to surjectivity of Johnson homomorphisms on basis-conjugating automorphism groups of free groups, determine the cokernels through degree four, and affirmatively resolve the Andreadakis problem in degree four.