1 citations · 1 across the 5 of their papers we have counts for
5 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…
Oriented matroids from type cluster categories
Nicholas J. Williams
For any cluster-tilting object in the cluster category of type , we construct a rank-four oriented matroid …
Preorders on maximal chains: hyperplane arrangements, Cambrian lattices, and maximal green sequences
Mikhail Gorsky, Nicholas J. Williams
We study preorders on (equivalence classes of) maximal chains in the general context of polygonal lattices endowed with suitably nice edge labellings. We show that, given a quotien…
Donaldson-Thomas invariants for the Bridgeland-Smith correspondence
Omar Kidwai, Nicholas J. Williams
Famous work of Bridgeland and Smith shows that certain moduli spaces of quadratic differentials are isomorphic to spaces of stability conditions on particular 3-Calabi-Yau triangul…
Steenrod operations via higher Bruhat orders
Guillaume Laplante-Anfossi, Nicholas J. Williams
The purpose of this paper is to establish a correspondence between the higher Bruhat orders of Yu. I. Manin and V. Schechtman, and the cup- coproducts defining Steenrod squares…