The crosscut poset

Miguel Ottina

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arXiv · 2205.07072

The crosscut poset

Miguel Ottina

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Abstract

We introduce a new combinatorial invariant, which we call crosscut poset, that is finer than the crosscut complex. We exhibit many applications of the crosscut poset which include a generalization of Björner's crosscut theorem and two results concerning the fixed point property and the fixed simplex property.

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Miguel Ottina. 2022-05-14. The crosscut poset. https://arxiv.org/abs/2205.07072

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