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Maximal green sequences for cluster algebras associated with the n-torus with arbitrary punctures

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Abstract

It is well known that any triangulation of a marked surface produces a quiver. In this paper we will provide a triangulation for orientable surfaces of genus n with an arbitrary number interior marked points (called punctures) whose corresponding quiver has a maximal green sequence.

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Authors and Affiliations

  1. Mathematics Department, Louisiana State University, Baton Rouge, LA, USA

    Eric Bucher

  2. Mathematics Department, University of Nebraska - Lincoln, Lincoln, NE, USA

    Matthew R. Mills

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  1. Eric Bucher
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  2. Matthew R. Mills
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Correspondence to Matthew R. Mills.

Additional information

EB was supported by the LSU GAANN Fellowship and LSU VIGRE Fellowship. MM is supported by University of Nebraska - Lincoln, and by NSA Grant H98230-14-1-0323. MM would also like to thank Wayne State University for their support while preparing this note.

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Bucher, E., Mills, M.R. Maximal green sequences for cluster algebras associated with the n-torus with arbitrary punctures. J Algebr Comb 47, 345–356 (2018). https://doi.org/10.1007/s10801-017-0778-y

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  • DOI: https://doi.org/10.1007/s10801-017-0778-y

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