Abstract
The aim of this paper is to compute the first homology of [Formula: see text] with coefficients in the [Formula: see text]-module [Formula: see text] of Jacobi diagrams of degree [Formula: see text] on [Formula: see text]-component oriented arcs. We also prove the self-duality of the [Formula: see text]-submodule [Formula: see text] of [Formula: see text] which is generated by a certain element.
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