源于曲面II的Laurent现象代数：层合曲面
Laurent phenomenon algebras arising from surfaces II: Laminated surfaces
摘要：
Fock，Goncharov和Fomin，Shapiro，Thurston证明了某些簇代数产生于三角化的可定向面。随后杜邦和Palesi推广了这一建设，包括unpunctured非可定向曲面，从而诞生了准集群代数。以前，我们把这个框架林和Pylyavskyy的劳伦特现象代数，表明未穿孔的表面承认的LP结构。在本文中，我们推广拟簇代数，包括穿孔曲面。此外，通过添加叠层的表面，我们证明了所有穿孔和未穿孔的表面承认LP结构。
英文摘要：
It was shown by Fock, Goncharov and Fomin, Shapiro, Thurston that some cluster algebras arise from triangulated orientable suraces. Subsequently Dupont and Palesi generalised this construction to include unpunctured non-orientable surfaces, giving birth to quasi-cluster algebras. Previously we linked this framework to Lam and Pylyavskyy's Laurent phenomenon algebras, showing that unpunctured surfaces admit an LP structure. In this paper we extend quasi-cluster algebras to include punctured surfaces. Moreover, by adding laminations to the surface we demonstrate that all punctured and unpunctured surfaces admit LP structures.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
