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Cyclically ordered quivers

3 Pith papers cite this work. Polarity classification is still indexing.

3 Pith papers citing it
abstract

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.

years

2026 2 2024 1

verdicts

UNVERDICTED 3

representative citing papers

Eventual sign coherence

math.CO · 2026-05-13 · 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.

Geometric helices on del Pezzo surfaces from tilting

math.AG · 2026-03-23 · 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.

The HOMFLY Polynomial of a Forest Quiver

math.CO · 2024-10-01 · unverdicted · novelty 6.0

Defines HOMFLY polynomial of forest quivers recursively, equates it to plabic link HOMFLY, and gives closed form via independent sets.

citing papers explorer

Showing 3 of 3 citing papers.

  • Eventual sign coherence math.CO · 2026-05-13 · unverdicted · none · ref 9 · internal anchor

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

  • Geometric helices on del Pezzo surfaces from tilting math.AG · 2026-03-23 · unverdicted · none · ref 23 · internal anchor

    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.

  • The HOMFLY Polynomial of a Forest Quiver math.CO · 2024-10-01 · unverdicted · none · ref 5 · internal anchor

    Defines HOMFLY polynomial of forest quivers recursively, equates it to plabic link HOMFLY, and gives closed form via independent sets.