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arxiv: 2406.03604 · v3 · pith:3YCYYSEPnew · submitted 2024-06-05 · 🧮 math.RT · math.CO· math.RA

Cyclically ordered quivers

Sergey Fomin , Scott Neville This is my paper
classification 🧮 math.RT math.COmath.RA
keywords cyclicallyorderedquiverstructureadditionalapplicationsarisescyclic
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A cyclically ordered quiver is a quiver endowed with an additional structure of a cyclic ordering of its vertices. This structure, which naturally arises in many important applications, gives rise to new powerful mutation invariants.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Eventual sign coherence

    math.CO 2026-05 unverdicted novelty 7.0

    Random mutations on skew-symmetric quivers yield sign-coherent c-vectors almost surely, proving the asymptotic sign coherence conjecture for arbitrary rank.

  2. Geometric helices on del Pezzo surfaces from tilting

    math.AG 2026-03 unverdicted novelty 7.0

    All geometric helices on del Pezzo surfaces are related by elementary operations including tilting, implying that non-commutative crepant resolutions of their affine cones are related by mutations.