24 citations · 69 across the 20 of their papers we have counts for
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math.RT2011★ 3 cited
A braid group action on parking functions
Evgeny Gorsky, Mikhail Gorsky
We construct an action of the braid group on strands on the set of parking functions of cars such that elementary braids have orbits of length 2 or 3. The construction is m…
math.CO2011★ 4 cited
On Young diagrams, flips and cluster algebras of type A
Mikhail Gorsky
We give a new simple description of the canonical bijection between the set of triangulations of n-gon and some set of Young diagrams. Using this description, we find flip transfor…
math.CO2011
Proof of Gal's conjecture for the D series of generalized associahedra
Mikhail Gorsky
In this short note we consider generalized associahedra of type D_n. We prove that these simple flag polytopes are not nestohedra for n > 3, but the statement of Gal's conjecture h…