4 papers
Relations between categorifications of higher-dimensional type cluster combinatorics
Mikhail Gorsky, Nicholas J. Williams
We consider three categories arising from the higher Auslander algebras of type in relation to -dimensional cluster combinatorics: -exact subcategory of the module catego…
A Categorification of Subword Complexes and Its Hall Algebra
Mikhail Gorsky, Zijun Li
Bergeron and Ceballos defined a Hopf algebra structure on equivalence classes of subword complexes. We introduce a category of subword complexes, endow it with a proto-exact-like s…
Positroid Links and Braid varieties
Roger Casals, Eugene Gorsky, Mikhail Gorsky +1
We study braid varieties and their relation to open positroid varieties. We discuss four different types of braids associated to open positroid strata and show that their associate…
Counting in Calabi--Yau categories, with applications to Hall algebras and knot polynomials
Mikhail Gorsky, Fabian Haiden
We show that homotopy cardinality -- a priori ill-defined for many dg-categories, including all periodic ones -- has a reasonable definition for even-dimensional Calabi--Yau (evenC…