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math.RT2022
Intersection vectors over tilings with applications to gentle algebras and cluster algebras
Changjian Fu, Shengfei Geng
It is proved that a multiset of permissible arcs over a tiling is uniquely determined by its intersection vector under a mild condition. This generalizes a classical result over ma…
math.RA2022★ 2 cited
Exchange graphs of cluster algebras have the non-leaving-face property
Changjian Fu, Shengfei Geng, Pin Liu
The claim in the title is proved.