7 papers
Mutation Cycles from Reddening Sequences
Tucker J. Ervin, Scott Neville
Given two quivers, each with a reddening sequence, we show how to construct a plethora of mutation cycles. We give several examples, including a generalization of the construction…
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…
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…
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…
New Hereditary and Mutation-Invariant Properties Arising from Forks
Tucker J. Ervin
A hereditary property of quivers is a property preserved by restriction to any full subquiver. Similarly, a mutation-invariant property of quivers is a property preserved by mutati…
Permutations whose reverse shares the same recording tableau in the RSK correspondence
Tucker J. Ervin, Blake Jackson, Jay Lane +4
The RSK correspondence is a bijection between permutations and pairs of standard Young tableaux with identical shape, where the tableaux are commonly denoted (insertion) and $Q…
Mutations of reflections and existence of pseudo-acyclic orderings for type
Tucker J. Ervin, Blake Jackson, Kyu-Hwan Lee +1
In a recent paper by K.-H. Lee, K. Lee and M. Mills, a mutation of reflections in the universal Coxeter group is defined in association with a mutation of a quiver. A matrix repres…