β(Z_K; F) ≥ 2^{m-1}(β(K; F)-2)+2 with equality iff the triangulation is F-tight, plus a new double-homology duality for tight cases.
[Zha24] Zhilei Zhang
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Moment angle complexes and duality for tight manifolds
β(Z_K; F) ≥ 2^{m-1}(β(K; F)-2)+2 with equality iff the triangulation is F-tight, plus a new double-homology duality for tight cases.