3 problems
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Universal subtraction-free Laurent expansion conjecture for TP-bases
Universal TP-basis conjecture. For any cell and any TP-basis, every other Plücker variable in the cell can be expressed as a subtraction-free Laurent polynomial in the variables of…
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Uniqueness conjecture for TP-bases of positroid cells
TP-basis mutation-equivalence conjecture. For any positroid cell, all TP-bases are mutation equivalent.
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Mutation-equivalence conjecture for canonical TP-bases of positroid cells
Canonical TP-basis conjecture. For any positroid cell, the canonical TP-basis can be transformed by Plücker mutations into a TP-basis consisting of variables coming from unique pat…