arXiv:1702.07313 [math.CO]AbstractReferencesReviewsResources
Minimal length maximal green sequences
Alexander Garver, Thomas McConville, Khrystyna Serhiyenko
Published 2017-02-23Version 1
Maximal green sequences are important objects in representation theory, cluster algebras, and string theory. It is an open problem to determine what lengths are achieved by the maximal green sequences of a quiver. We combine the combinatorics of surface triangulations and the basics of scattering diagrams to address this problem. Our main result is a formula for the length of minimal length maximal green sequences of quivers defined by triangulations of an annulus or a punctured disk.
Comments: 43 pages, many figures, comments welcome
Related articles: Most relevant | Search more
arXiv:1603.06827 [math.CO] (Published 2016-03-22)
A new expander and improved bounds for $A(A+A)$
arXiv:1504.02650 [math.CO] (Published 2015-04-10)
Transversals in $4$-Uniform Hypergraphs
The approximate Loebl-Komlós-Sós Conjecture IV: Embedding techniques and the proof of the main result