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Weak Order on the MacNeille Completion of Bruhat Order

math.CO · 2026-05-08 · unverdicted · novelty 8.0

Introduces 0-Hecke action to define weak order and descent sets on MacNeille completion of Bruhat order, proves vertex-decomposability of subword complex unions, proves Escobar-Klein-Weigandt conjecture on Cohen-Macaulay ASM varieties, gives counterexample to Hamaker-Reiner conjecture, and shows Mac

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  • Weak Order on the MacNeille Completion of Bruhat Order math.CO · 2026-05-08 · unverdicted · none · ref 17

    Introduces 0-Hecke action to define weak order and descent sets on MacNeille completion of Bruhat order, proves vertex-decomposability of subword complex unions, proves Escobar-Klein-Weigandt conjecture on Cohen-Macaulay ASM varieties, gives counterexample to Hamaker-Reiner conjecture, and shows Mac