Every chute move poset of reduced pipe dreams is a lattice, it is isomorphic to a Lehmer tableaux poset, and it is semidistributive and polygonal with diamonds or pentagons as polygons.
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Chute Move Posets are Lattices
Every chute move poset of reduced pipe dreams is a lattice, it is isomorphic to a Lehmer tableaux poset, and it is semidistributive and polygonal with diamonds or pentagons as polygons.