3 problems

0 votes0 replies1 view
Multiplicity of non-degenerate potentials for quivers mutation equivalent to $X_7$
Multiplicity conjecture. There are at least two non-degenerate potentials on $Q$ up to right equivalence.
Conjectureopenpotentials quiver-mutationarXiv posted 2 days ago
0 votes0 replies0 views
Right-equivalence conjecture for tagged flips on the five-punctured sphere
Right-equivalence conjecture. The QPs $\mu_i(Q(\tau),S(\tau,\mathbf{x}))$ and $(Q(\sigma),S(\sigma,\mathbf{x}))$ are right equivalent, not merely weakly right equivalent.
Conjectureopenpotentials quiver-mutation triangulated-surfacesarXiv posted 2 days ago
0 votes0 replies0 views
Uniqueness of non-degenerate potentials for genus-positive surfaces with two punctures
Uniqueness conjecture. The quiver $Q(\tau)$ admits only one non-degenerate potential up to weak right equivalence.
Conjectureopenmarked-surfaces potentials quiver-mutationarXiv posted 2 days ago

Multiplicity of non-degenerate potentials for quivers mutation equivalent to X7X_7X7​