Salvatore Stella
It ought to work... but it does not!
A list of reasonable statements that you should not try to prove because they are false
"The compatibility degree in a cluster algebra with skew-symmetric B-matrix ought to be symmetric"
The easyest counterexample I have comes from surfaces: take an anulus with one marked point per boundary component with a single puncture. Consider the arc connecting the exterior boundary to the puncture with a notch at the puncture and the loop based at the puncture. These two arcs have compatibility degree 1 and 2. For more about this see Fomin-Shapiro-Thurston.Last modified: Saturday, 06-Mar-2021 00:39:37 CET