5 citations · 19 across the 12 of their papers we have counts for
4 papers · 1 filter
Algebraic Weaves and Braid Varieties
Roger Casals, Eugene Gorsky, Mikhail Gorsky +1
In this manuscript we study braid varieties, a class of affine algebraic varieties associated to positive braids. Several geometric constructions are presented, including certain t…
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 the lattices of exact and weakly exact structures
Rose-Line Baillargeon, Thomas Brüstle, Mikhail Gorsky +1
We initiate in this article the study of weakly exact structures, a generalization of Quillen exact structures. We introduce weak counterparts of one-sided exact structures and sho…
Exact structures and degeneration of Hall algebras
Xin Fang, Mikhail Gorsky
We study degenerations of the Hall algebras of exact categories induced by degree functions on the set of isomorphism classes of indecomposable objects. We prove that each such deg…