Mixed Dimer Configuration Model in Type $D$ Cluster Algebras II: Beyond the Acyclic Case

• Main Authors: Farrell, Libby, Musiker, Gregg, Wright, Kayla
• Format: Journal Article
• Language: English
• Published: 15.11.2022
• Subjects: Mathematics - Combinatorics; Mathematics - Representation Theory

This is a sequel to the second and third author's Mixed Dimer Configuration Model in Type $D$ Cluster Algebras where we extend our model to work for quivers that contain oriented cycles. Namely, we extend a combinatorial model for $F$-polynomials for type $D_n$ using dimer and double dimer conf...