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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…
math.CO2024
Unrestricted Red Size and Sign-Coherence
Tucker J. Ervin
The unrestricted red size of a quiver is the maximal number of red vertices in its framed quiver after any given mutation sequence. In a 2023 paper by E. Bucher and J. Machacek, it…