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| − | + | Cluster algebra is, of course, interesting in its own right, but it can also be used to study the properties of other objects. Notably, cluster algebras of particular ranks can correspond to the behavior of triangulated oriented surfaces, where clusters and cluster variables have explicit connections to arcs and triangulations '''[4]'''. In other words, certain cluster algebras can provide information into the topological nature of surfaces that they relate to. | |
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[[ Walther MA271 Fall2020 topic4|Back to Walther MA271 Fall2020 topic4]] | [[ Walther MA271 Fall2020 topic4|Back to Walther MA271 Fall2020 topic4]] | ||
| + | [[Category:MA271Fall2020Walther]] | ||
Revision as of 20:33, 6 December 2020
Applications
Cluster algebra is, of course, interesting in its own right, but it can also be used to study the properties of other objects. Notably, cluster algebras of particular ranks can correspond to the behavior of triangulated oriented surfaces, where clusters and cluster variables have explicit connections to arcs and triangulations [4]. In other words, certain cluster algebras can provide information into the topological nature of surfaces that they relate to.
