Abstract
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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2478-2554 |
| Number of pages | 77 |
| Journal | Journal of the London Mathematical Society |
| Volume | 105 |
| Issue number | 4 |
| DOIs | |
| State | Published - Jun 2022 |
Bibliographical note
Funding Information:We benefited from stimulating interactions with Ian Agol, Sergei Chmutov, John Etnyre, Matthew Hedden, Diana Hubbard, Ilia Itenberg, Peter Leviant, Stepan Orevkov, Michael Shapiro, and Harold Williams. This study was partially supported by NSF Grant Numbers: DMS‐1664722 and DMS‐2054231 (Sergey Fomin); DMS‐1148634, DMS‐1351590, DMS‐1745638, and DMS‐1949896 (Pavlo Pylyavskyy); DMS‐1507244 and DMS‐2110143 (Dylan Thurston); a Simons Fellowship (Sergey Fomin); a Sloan Fellowship (Pavlo Pylyavskyy); the ISF Grants 176/15 and 501/18 (Eugenii Shustin); and the Bauer‐Neuman Chair in Real and Complex Geometry (Eugenii Shustin).
Funding Information:
We benefited from stimulating interactions with Ian Agol, Sergei Chmutov, John Etnyre, Matthew Hedden, Diana Hubbard, Ilia Itenberg, Peter Leviant, Stepan Orevkov, Michael Shapiro, and Harold Williams. This study was partially supported by NSF Grant Numbers: DMS-1664722 and DMS-2054231 (Sergey Fomin); DMS-1148634, DMS-1351590, DMS-1745638, and DMS-1949896 (Pavlo Pylyavskyy); DMS-1507244 and DMS-2110143 (Dylan Thurston); a Simons Fellowship (Sergey Fomin); a Sloan Fellowship (Pavlo Pylyavskyy); the ISF Grants 176/15 and 501/18 (Eugenii Shustin); and the Bauer-Neuman Chair in Real and Complex Geometry (Eugenii Shustin).
Publisher Copyright:
© 2022 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.