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arXiv · 1901.00964

A Model for Random Chain Complexes

Michael J. Catanzaro·Matthew J. Zabka
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Abstract

We introduce a model for random chain complexes over a finite field. The randomness in our complex comes from choosing the entries in the matrices that represent the boundary maps uniformly over $\mathbb{F}_q$, conditioned on ensuring that the composition of consecutive boundary maps is the zero map. We then investigate the combinatorial and homological properties of this random chain complex.

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Michael J. Catanzaro, Matthew J. Zabka. 2019-01-04. A Model for Random Chain Complexes. https://arxiv.org/abs/1901.00964

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