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math.CO2024
Machine Learning Mutation-Acyclicity of Quivers
Kymani T. K. Armstrong-Williams, Edward Hirst, Blake Jackson +1
Machine learning (ML) has emerged as a powerful tool in mathematical research in recent years. This paper applies ML techniques to the study of quivers -- a type of directed multig…
math.CO2024
Geometry of -vectors and -Matrices for Mutation-Infinite Quivers
Tucker J. Ervin, Blake Jackson, Kyungyong Lee +1
The set of forks is a class of quivers introduced by M. Warkentin, where every connected mutation-infinite quiver is mutation equivalent to infinitely many forks. Let be a fork…
math.CO2024
A topology on the poset of quiver mutation classes
Tucker J. Ervin, Blake Jackson
To better understand mutation-invariant and hereditary properties of quivers (and more generally skew-symmetrizable matrices), we have constructed a topology on the set of all muta…