3 papers
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.QA2025
The formality of the Goldman-Turaev Lie bialgebra on a closed surface
Toyo Taniguchi
We reformulate the Kashiwara-Vergne groups and associators in higher genera, introduced in Alekseev-Kawazumi-Kuno-Naef, in terms of non-commutative connections using the tools deve…
math.QA2025
A family of algebraic operations extending the Turaev cobracket
Toyo Taniguchi
We introduce a family of maps parametrised by certain ribbon graphs. It is based on a connection in non-commutative geometry and contains the double divergence as a special case. A…