Temperley-Lieb immanants are Schur-positive on ribbon decomposition matrices, generalizing Haiman's Jacobi-Trudi result, with a conjecture for the full dual canonical basis.
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Orlik–Solomon sheaf homology on a geometric lattice concentrates in top degree and decomposes as a sum of local OS algebras tensored with top homology of complementary geometric semilattices.
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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Temperley-Lieb Immanants of Ribbon Decomposition Matrices
Temperley-Lieb immanants are Schur-positive on ribbon decomposition matrices, generalizing Haiman's Jacobi-Trudi result, with a conjecture for the full dual canonical basis.
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Orlik--Solomon sheaf homology of geometric lattices
Orlik–Solomon sheaf homology on a geometric lattice concentrates in top degree and decomposes as a sum of local OS algebras tensored with top homology of complementary geometric semilattices.
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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.