7 citations · 8 across the 9 of their papers we have counts for
10 papers
Knot theory and cluster algebra III: Posets
Véronique Bazier-Matte, Ralf Schiffler
In previous work, we associated a module to every segment of a link diagram and showed that there is a poset isomorphism between the submodules of and the Kau…
Knot theory and cluster algebras II: The knot cluster
Véronique Bazier-Matte, Ralf Schiffler
To every knot (or link) diagram K, we associate a cluster algebra A that contains a cluster x with the property that every cluster variable in x specializes to the Alexander polyno…
Marked non-orientable surfaces and cluster categories via symmetric representations
Véronique Bazier-Matte, Aaron Chan, Kayla Wright
We initiate the investigation of representation theory of non-orientable surfaces. As a first step towards finding an additive categorification of Dupont and Palesi's quasi-cluster…
Quivers from non-orientable surfaces
Véronique Bazier-Matte, Fenghuan He, Ruiyan Huang +2
We associate a quiver to a quasi-triangulation of a non-orientable marked surface and define a notion of quiver mutation that is compatible with quasi-cluster algebra mutation defi…
Knot theory and cluster algebras
Véronique Bazier-Matte, Ralf Schiffler
We establish a connection between knot theory and cluster algebras via representation theory. To every knot diagram (or link diagram), we associate a cluster algebra by constructin…
Leading terms of web invariants
Véronique Bazier-Matte, Guillaume Douville, Alexander Garver +3
We use Khovanov and Kuperberg's web growth rules to identify the minimal term in the invariant associated to an web diagram, with respect to a particular term order.
Unistructurality of cluster algebras from surfaces without punctures
Véronique Bazier-Matte, Pierre-Guy Plamondon
A cluster algebra is unistructural if the set of its cluster variables determines its clusters and seeds. It is conjectured that all cluster algebras are unistructural. In this pap…
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…
Unistructurality of cluster algebras of type
Véronique Bazier-Matte
It is conjectured by Ibrahim Assem, Ralf Schiffler and Vasilisa Shramchenko in "Cluster Automorphisms and Compatibility of Cluster Variables" that every cluster algebra is unistruc…
Friezes and continuant polynomials with parameters
Véronique Bazier-Matte, David Racicot-Desloges, Tanna Sanchez
Frieze patterns (in the sense of Conway and Coxeter) are related to cluster algebras of type A and to signed continuant polynomials. In view of studying certain classes of cluster…