Reddening Sequences for Banff Quivers and the Class

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Authors: Bucher, Eric, Machacek, John
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210701
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Reddening Sequences for Banff Quivers and the Class . Eric Bucher and John Machacek. SIGMA 16 (2020), 049, 11 pages

We show that a reddening sequence exists for any quiver that is Banff. Our proof is combinatorial and relies on the triangular extension construction for quivers. The other facts needed are that the existence of a reddening sequence is mutation invariant and passes to induced subquivers. Banff quive...