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Morsifications and mutations

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arxiv 1711.10598 v4 pith:AWSERNRF submitted 2017-11-28 math.GT math.AGmath.CO

Sergey Fomin , Pavlo Pylyavskyy , Eugenii Shustin , Dylan Thurston This is my paper · ORCID
classification math.GTmath.AGmath.CO
keywords morsificationsalgebraassociatedclusterconnectioncurvesdescribeequivalence
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We describe and investigate a connection between the topology of isolated singularities of plane curves and the mutation equivalence, in the sense of cluster algebra theory, of the quivers associated with their morsifications.

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Cited by 2 Pith papers

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

  1. Real morsifications via the trace map

    math.AG 2026-08 accept novelty 8.0 of 10

    Every reduced real plane curve singularity is shown to admit a real morsification, via a new trace map built from nodal smoothings of normalization disks.

  2. Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians

    math.CO 2019-08 conditional novelty 7.0 of 10

    Geometric signatures, fixed by orientation and a gauge ray direction, completely characterize totally non-negative edge-signature systems on plabic networks in the disk.

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