Geodesic
The existence of a maximal Green sequence is not invariant under quiver mutation
Greg Muller1
1University of Michigan
The electronic journal of combinatorics, Tome 23 (2016) no. 2
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This note provides a quiver which does not admit a maximal green sequence, but which is mutation-equivalent to a quiver which does admit a maximal green sequence. The proof uses the `scattering diagrams' of Gross-Hacking-Keel-Kontsevich to show that a maximal green sequence for a quiver determines a maximal green sequence for any induced subquiver.
DOI : 10.37236/5412
Classification : 05C20, 05C38, 05C85
Mots-clés : cluster algebras, quiver mutation

Greg Muller  1

1 University of Michigan 
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     title = {The existence of a maximal {Green} sequence is not invariant under quiver mutation},
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Greg Muller. The existence of a maximal Green sequence is not invariant under quiver mutation. The electronic journal of combinatorics, Tome 23 (2016) no. 2. doi: 10.37236/5412

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