3 problems

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The conjecture that signature invariants cannot detect the kernel of the first mutation map
Signature-detection conjecture. In general, signature invariants cannot detect elements in the kernel of $\phi_1$ .
Conjectureopencasson-gordon-invariants knot-concordance mutation-invariantsarXiv posted 2 days ago
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Binary-value conjecture for the skew-symmetrizable delta-invariant
Binary-value conjecture. For every fixed positive integer $n$ and every fixed skew-symmetrizer $d_1,\dots,d_n$ , the invariant $\delta$ takes only two possible values.
Conjectureopenmutation-invariants skew-symmetrizable-matricesarXiv posted 2 days ago
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Generation conjecture for Laurent mutation invariants of rank-three cluster algebras
Generation conjecture. The Laurent mutation invariants are generated by the invariant in or by the invariant in.
Conjectureopencluster-algebras mutation-invariantsarXiv posted 2 days ago

The conjecture that signature invariants cannot detect the kernel of the first mutation map