3 problems

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Gamma-vector monotonicity conjecture under flag subdivisions and building-set inclusions
Let $\Delta$ and $\Delta'$ be flag simplicial complexes, and suppose that $\Delta'$ is a geometric subdivision of $\Delta$ . Let $\mathcal{B}\subset\mathcal{B}'$ be building sets wh…
Conjectureopengamma-vectors nestohedra simplicial-complexesarXiv posted 2 days ago
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Postnikov–Reiner–Williams recognizability conjecture for nestohedra
Postnikov–Reiner–Williams conjecture. Nestohedra are recognizable among the deformed permutahedra by their vertex digraphs: a deformed permutahedron has the normal fan of a nestohe…
Conjectureopengeneralized-permutahedra nestohedra polytopesarXiv posted 2 days ago
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Real-rootedness conjecture for Narayana polynomials over binary nestohedra
For a positive integer $n$ , define the Narayana polynomial … Given a composition $\mathbf q=(q_0,\ldots,q_k)\in\mathbb Z_{>0}^{k+1}$ , define … An integral binary nestohedron…
Conjectureopennestohedra real-rooted-polynomials stack-sortingarXiv posted 2 days ago

Gamma-vector monotonicity conjecture under flag subdivisions and building-set inclusions