Laurent phenomenon algebras arising from surfaces

Wilson, J.

Abstract

It was shown by Fomin et al. [4] that some cluster algebras arise from orientable surfaces. Subsequently, Dupont and Palesi [2] extended this construction to non-orientable surfaces. We link this framework to Lam and Pylyavskyy’s Laurent phenomenon (LP) algebras [12], showing that both orientable and non-orientable unpunctured marked surfaces have an associated LP-algebra.

Citation

Wilson, J. (2018). Laurent phenomenon algebras arising from surfaces. International Mathematics Research Notices, 2018(12), 3800-3833. https://doi.org/10.1093/imrn/rnw341

• Journal Article Type: Article
• Acceptance Date: Dec 16, 2016
• Online Publication Date: Feb 22, 2017
• Publication Date: Jun 13, 2018
• Deposit Date: Mar 8, 2017
• Publicly Available Date: Feb 22, 2018
• Journal: International Mathematics Research Notices
• Print ISSN: 1073-7928
• Electronic ISSN: 1687-0247
• Publisher: Oxford University Press
• Peer Reviewed: Peer Reviewed
• Volume: 2018
• Issue: 12
• Pages: 3800-3833
• DOI: https://doi.org/10.1093/imrn/rnw341
• Public URL: https://durham-repository.worktribe.com/output/1362958