A Model for Random Chain Complexes
classification
🧮 math.CO
math.ACmath.PR
keywords
chainrandomboundarycomplexcomplexesmapsmodelchoosing
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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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