4 problems
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Path formula conjecture for tilted R-polynomials
Tilted R-polynomial path formula conjecture. For any reflection ordering of ,
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Dyer's braid-graph connectivity conjecture
Let be a Coxeter system with positive root system , and let be a finite subset of . Form the braid graph whose vertices are the total orders on obta…
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Initial-section realization conjecture for closed quasipositive systems
Quasipositive initial-section conjecture. There is a total order of such that consists of all initial sections of .
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Reflection-order characterization and maximal-chain conjecture for biclosed sets
Reflection-order and maximal-chain conjecture.