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• W2525141036 abstract "Given a marked surface (S, M) we can add arcs to the surface to create a triangulation, T, of that surface. For each triangulation, T, we can associate a cluster algebra. In this paper we will consider orientable surfaces of genus n with two interior marked points and no boundary component. We will construct a specific triangulation of this surface which yields a quiver. Then in the sense of work by Keller we will produce a maximal green sequence for this quiver. Since all finite mutation type cluster algebras can be associated to a surface, with some rare exceptions, this work along with previous work by others seeks to establish a base case in answering the question of whether a given finite mutation type cluster algebra exhibits a maximal green sequence." @default.
• W2525141036 created "2016-10-07" @default.
• W2525141036 creator A5065829561 @default.
• W2525141036 date "2016-09-29" @default.
• W2525141036 modified "2023-10-07" @default.
• W2525141036 title "Maximal Green Sequences for Cluster Algebras Associated to Orientable Surfaces with Empty Boundary" @default.
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• W2525141036 doi "https://doi.org/10.1007/s40598-016-0057-3" @default.
• W2525141036 hasPublicationYear "2016" @default.
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