Morsifications and mutations

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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Veröffentlicht in:Journal of the London Mathematical Society 2022-06, Vol.105 (4), p.2478-2554
Hauptverfasser: Fomin, Sergey, Pylyavskyy, Pavlo, Shustin, Eugenii, Thurston, Dylan
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0024-6107
1469-7750
DOI:10.1112/jlms.12566