3 problems

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Conjecture on the compatibility of link and torus invariants
Compatibility conjecture. The maps satisfy
Conjectureopenisotopy-invariants knotted-tori knot-theoryarXiv posted 2 days ago
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Orientation-change conjecture for the invariant $r_+$
Orientation-change conjecture. The invariant changes sign under this operation:
Conjectureopenknotted-tori knot-theoryarXiv posted 2 days ago
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The PL analogue of the classification theorem for knotted tori
PL analogue conjecture. The piecewise linear (PL) analogue of Theorem 1 holds.
Conjectureopenknotted-tori knot-theory piecewise-linear-topologyarXiv posted 2 days ago

Conjecture on the compatibility of link and torus invariants