5 citations · 13 across the 4 of their papers we have counts for
4 papers
Positive and negative extensions in extriangulated categories
Mikhail Gorsky, Hiroyuki Nakaoka, Yann Palu
We initiate the study of derived functors in the setting of extriangulated categories. By using coends, we adapt Yoneda's theory of higher extensions to this framework. We show tha…
Subword complexes and 2-truncated cubes
Mikhail Gorsky
For a Coxeter element of a finite Coxeter group, we consider a family of subword complexes parameterized by reduced expressions of the longest element. This family generalizes…
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…
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…