Dmitriy Voloshyn

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20212025

most citedMultiple generalized cluster structures on

D (GL_{n})

2 citations · 2 across the 4 of their papers we have counts for

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math.QA2023

Generalized cluster structures related to Poisson duals of $SL_{n}$

Michael Gekhtman, Dmitriy Voloshyn

We study Poisson varieties $(SL_{n}, π_{Γ ˉ}^{†})$ parameterized by Belavin--Drinfeld quadruples $Γ ˉ := (Γ, r_{0})$ of type $A_{n - 1}$ along wit…

math.RT2023

Starfish lemma via birational quasi-isomorphisms

Dmitriy Voloshyn

We study birational quasi-isomorphisms between normal Noetherian domains endowed with cluster structures of geometric type. We prove an analogue of the Starfish lemma that allows o…

Generalized cluster structures related to Poisson duals of SLn​

Starfish lemma via birational quasi-isomorphisms

Generalized cluster structures related to Poisson duals of $SL_{n}$