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g-elements, finite buildings and higher Cohen-Macaulay connectivity

E. Swartz
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Abstract

The main result is a proof that the g-vector of a simplicial complex with a convex ear decomposition is an M-vector. This is a generalization of similar results for matroid complexes. We also show that a finite building has a convex ear decomposition. This leads to connections between higher Cohen-Macaulay connectivity and increasing h-vectors.

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E. Swartz. 2005-12-04. g-elements, finite buildings and higher Cohen-Macaulay connectivity. https://arxiv.org/abs/math/0512086

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