Minimal length maximal green sequences

Producción científica: Paperrevisión exhaustiva

Resumen

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.

Idioma originalEnglish
EstadoPublished - 2006
Evento29th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2017 - London, United Kingdom
Duración: jul 9 2017jul 13 2017

Conference

Conference29th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2017
País/TerritorioUnited Kingdom
CiudadLondon
Período7/9/177/13/17

Nota bibliográfica

Publisher Copyright:
© 29th international conference on Formal Power Series and Algebraic Combinatorics. All rights reserved.

Financiación

A. Garver received support from an RTG grant DMS-1148634, NSERC, and the Canada Research Chairs program. K. Serhiyenko was supported by the NSF Postdoctoral Fellowship MSPRF-1502881. The authors are grateful to the referees for their careful comments.

FinanciadoresNúmero del financiador
National Science Foundation (NSF)MSPRF-1502881
Natural Sciences and Engineering Research Council of Canada
Canada Excellence Research Chairs, Government of Canada

    ASJC Scopus subject areas

    • Algebra and Number Theory

    Huella

    Profundice en los temas de investigación de 'Minimal length maximal green sequences'. En conjunto forman una huella única.

    Citar esto