Abstract
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 maximal green sequences of a quiver. We use the combinatorics of surface triangulations 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.
| Original language | English |
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| State | Published - 2006 |
| Event | 29th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2017 - London, United Kingdom Duration: Jul 9 2017 → Jul 13 2017 |
Conference
| Conference | 29th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2017 |
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| Country/Territory | United Kingdom |
| City | London |
| Period | 7/9/17 → 7/13/17 |
Bibliographical note
Publisher Copyright:© 29th international conference on Formal Power Series and Algebraic Combinatorics. All rights reserved.
Keywords
- Maximal green sequence
- Quiver mutation
- Triangulated surface
ASJC Scopus subject areas
- Algebra and Number Theory