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math.QA2026
Input/output coloring and Gröbner basis for dioperads
Anton Khoroshkin
We introduce a functor that associates to a dioperad acting on a vector space a two-colored operad acting on the pair . The construction is based on a…
math.QA2026
The properad of quadratic Poisson structures is Koszul
Anton Khoroshkin
In this paper, we suggest a sufficient condition on the properadic envelope of a quadratic dioperad to be Koszul in terms of twisted associative algebras. As a particular new examp…