38 citations · 41 across the 8 of their papers we have counts for
9 papers
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…
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…
Graphical configuration spaces, Contractads and Formality
Anton Khoroshkin, Denis Lyskov
Given a finite simple connected graph , the graphical configuration space is the space of collections of points in indexed by the vertices of , where…
Bubble sort and Howe duality for staircase matrices
Anton Khoroshkin, Ievgen Makedonskyi
We prove the alternating Cauchy identity for staircase matrices conjectured in arXiv:2411.03117, together with an explicit description of the coefficients occurring in it. As a byp…
Cauchy identities for staircase matrices
Evgeny Feigin, Anton Khoroshkin, Ievgen Makedonskyi
The well known Cauchy identity expresses the product of terms for indexing entries of a rectangular -matrix as a sum over partitions of…
Hilbert series for contractads and modular compactifications
Anton Khoroshkin, Denis Lyskov
Contractads are operadic-type algebraic structures well-suited for describing configuration spaces indexed by a simple connected graph . Specifically, these configuration spaces…