Anton Khoroshkin

collaborators

6 papers

math.RT2026

Cauchy identities for staircase matrices

Evgeny Feigin, Anton Khoroshkin, Ievgen Makedonskyi

The well known Cauchy identity expresses the product of terms $(1 - x_{i} y_{j})^{- 1}$ for $(i, j)$ indexing entries of a rectangular $m \times n$ -matrix as a sum over partitions $I^»$ of…

math.RT2026

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…

math.QA2026

Input/output coloring and GrÃ¶bner basis for dioperads

Anton Khoroshkin

We introduce a functor $I^¨$ that associates to a dioperad $P$ acting on a vector space $V$ a two-colored operad $I^¨ (P)$ acting on the pair $(V, V^{*})$ . The construction is based on…

math.AT2026

Graphical configuration spaces, Contractads and Formality

Anton Khoroshkin, Denis Lyskov

Given a finite simple connected graph $I^$ , the graphical configuration space $Conf_{I^} (X)$ is the space of collections of points in $X$ indexed by the vertices of $I^$ , wh…

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…

math.AT2024

Real moduli space of stable rational curves revised

Anton Khoroshkin, Thomas Willwacher

The real locus of the moduli space of stable genus-zero curves with marked points, $M_{0, n + 1} (R)$ , is known to be a smooth manifold and is the Eil…