Morsifications and mutations
Geometric Topology
2022-06-09 v4 Algebraic Geometry
Combinatorics
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.
Keywords
Cite
@article{arxiv.1711.10598,
title = {Morsifications and mutations},
author = {Sergey Fomin and Pavlo Pylyavskyy and Eugenii Shustin and Dylan Thurston},
journal= {arXiv preprint arXiv:1711.10598},
year = {2022}
}
Comments
v3: Major revision and expansion, with several new results. v4: minor edits. 80 pages, 66 figures. Final version, to appear in J. Lond. Math. Soc