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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Bibliographische Detailangaben
Veröffentlicht in:	arXiv.org 2021-11
Hauptverfasser:	Fomin, Sergey, Pylyavskyy, Pavlo, Shustin, Eugenii, Thurston, Dylan
Format:	Artikel
Sprache:	eng
Schlagworte:	Curves Mathematics - Algebraic Geometry Mathematics - Combinatorics Mathematics - Geometric Topology Mutation Topology
Online-Zugang:	Volltext
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Beschreibung
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:	2331-8422
DOI:	10.48550/arxiv.1711.10598