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=Applications=
  
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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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Revision as of 21:33, 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.




Back to Walther MA271 Fall2020 topic4

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