Linear recurrence relations for cluster variables of affine quivers

By B. Keller, Sarah Scherotzke. 2010

51 citations recorded by the source corpus.

We prove that the frieze sequences of cluster variables associated with the vertices of an affine quiver satisfy linear recurrence relations. In particular, we obtain a proof of a recent conjecture by Assem-Reutenauer-Smith.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/f45c60b2f9193a6b33b4cf1abdb3b86b1c6954ee

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In Algebra and Number Theory

1. S. Cecotti
2. C. Vafa

In Discrete Mathematics and Combinatorics

1. S. Cecotti
2. C. Vafa

In Geometry and Topology

1. S. Cecotti
2. C. Vafa
3. Marcos Mariño
4. Mina Aganagic
5. A. Klemm
6. Dan Xie
7. R. Dijkgraaf
8. Sergei Gukov

Citations in the corpus

• Classification of Complete N = 2 Supersymmetric Theories in 4 Dimensions (2011, background): “Indeed, we may number the nodes of an affine quiver, without oriented cycles, from 1 to D in such a way that each vertex i is a source in the full subquiver of vertices 1, · · · , i [22,23].”