The authors define extra slow Tamari lattices on faithfully balanced tableaux, prove they are lattices that are semidistributive, trim, polygonal and congruence uniform, describe their join-irreducibles via three-color roots, and obtain enumerative results.
Canadian Journal of Mathematics , author=
2 Pith papers cite this work, alongside 93 external citations. Polarity classification is still indexing.
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The box complex realizes the canonical join complex of alt ν-Tamari lattices and is vertex decomposable, with Euler characteristic and top homology independent of δ.
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The extra slow Tamari lattice
The authors define extra slow Tamari lattices on faithfully balanced tableaux, prove they are lattices that are semidistributive, trim, polygonal and congruence uniform, describe their join-irreducibles via three-color roots, and obtain enumerative results.
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A combinatorial model for the canonical join complex of alt $\nu$-Tamari lattices
The box complex realizes the canonical join complex of alt ν-Tamari lattices and is vertex decomposable, with Euler characteristic and top homology independent of δ.