117 citations · 227 across the 16 of their papers we have counts for
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On the interaction of the Coxeter transformation and the rowmotion bijection
René Marczinzik, Hugh Thomas, Emine Yıldırım
Let be a finite poset and the associated distributive lattice of order ideals of . Let denote the rowmotion bijection of the order ideals of viewed as a permutat…
Completions of discrete cluster categories of type
Charles Paquette, Emine Yildirim
We complete the discrete cluster categories of type as defined by Igusa and Todorov, by embedding such a discrete cluster category inside a larger one, and then taking…
ABHY Associahedra and Newton polytopes of -polynomials for finite type cluster algebras
Véronique Bazier-Matte, Nathan Chapelier-Laget, Guillaume Douville +3
A new construction of the associahedron was recently given by Arkani-Hamed, Bai, He, and Yan in connection with the physics of scattering amplitudes. We show that their constructio…
The Coxeter transformation on Cominuscule Posets
Emine Yildirim
Let be the poset of order ideals of a cominuscule poset where comes from two of the three infinite families of cominuscule posets or the e…
On the combinatorics of gentle algebras
Thomas Brüstle, Guillaume Douville, Kaveh Mousavand +2
For a gentle algebra, and and string modules, we construct a combinatorial basis for Hom(). We use this to describe support -tilting modules for . We give a…