Scattering fan–mutation fan coincidence conjecture
Scattering fan–mutation fan coincidence conjecture
Let be an exchange matrix. The scattering fan–mutation fan coincidence conjecture. The scattering fan coincides with the mutation fan if and only if either
- is and of finite or affine type; or
- is for and of finite mutation type.
The conjecture characterizes exactly when the scattering fan and mutation fan agree; in general, the scattering fan is known to refine the mutation fan, while the asserted converse classification is not resolved in the supplied source.
Sources & referencesView supporting material
Primary source
Nathan Reading and Salvatore Stella, “Cluster scattering diagrams of acyclic affine type”, arXiv:2205.05125 (2025).
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
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