Koszuality of the ${\mathcal{V}}^{(d)}$ dioperad

Kate Poirier, Thomas Tradler

Define a ${\mathcal{V}}^{(d)}$-algebra as an associative algebra with a symmetric and invariant co-inner product of degree $d$. Here, we consider ${\mathcal{V}}^{(d)}$ as a dioperad whic…