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math.QA2024
Modular vector fields in non-commutative geometry
Toyo Taniguchi
We construct a non-commutative analogue of the modular vector field on a Poisson manifold for a given pair of a double bracket and a connection on a space of 1-forms. The key ingre…
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…