2 problems

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Almost h-positivity conjecture for rank-selected subword-order homology
Let $A$ be an alphabet of size $n\ge 2$ , and let $S_n$ act on $A^*$ by permuting the alphabet. A rank-selected subposet is obtained by retaining words whose ranks belong to a finit…
Conjectureopenposet-topology subword-order symmetric-functionsarXiv posted 2 days ago
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Nonnegative tensor-power conjecture for homology of rank-selected subword order
Let $A$ be an alphabet of size $n\ge 2$ , and let $S_n$ act on $A^*$ by permuting the alphabet. A rank-selected subposet is obtained by retaining words whose ranks belong to a finit…
Conjectureopenposet-topology subword-order symmetric-group-representationsarXiv posted 2 days ago

Almost h-positivity conjecture for rank-selected subword-order homology