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math.AT2025
One-dimensionality of certain cocycles for the detection of the Johnson cokernel
Toyo Taniguchi
The Enomoto-Satoh (ES) trace detects the Johnson cokernel, and its 1-cocycle property is important for the proof that the Johnson image is annihilated by the ES trace. Via the natu…
math.AT2024
Non-commutative divergence and the Turaev cobracket
Toyo Taniguchi
The divergence map, an important ingredient in the algebraic description of the Turaev cobracket on a connected oriented compact surface with boundary, is reformulated in the conte…