The paper proves equality of interleaving and bottleneck distances for pointwise finite-dimensional nilpotent representations of the continuous quiver of type tilde A.
Maximal Rigid Representations of Continuous Quivers of Type A with Automorphism
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abstract
Buan and Krause gave a classification of maximal rigid representations for cyclic quivers and counted the number of isomorphism classes. By using this result, we give a formula on the number of isomorphism classes of a kind of maximal rigid representations for continuous quivers of type A with automorphism.
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Isometry Theorem for Continuous Quiver of Type $\tilde{A}$
The paper proves equality of interleaving and bottleneck distances for pointwise finite-dimensional nilpotent representations of the continuous quiver of type tilde A.