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Pairs of lattice complements with complementary homology

Faridi, Sara et al.
arXiv (All) · Papers
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06a07combinatoricscommutative-algebra
In this paper we study whether there is a global to local principle for the homology of order complexes of finite lattices. We explore whether the non-vanishing of the homology of a lattice in degree $a+b-2$ forces the existence of a pair of lattice-complements whose open intervals below have non-va
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