A Model for Random Chain Complexes
Combinatorics
2019-01-07 v1 Commutative Algebra
Probability
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 , 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.
Cite
@article{arxiv.1901.00964,
title = {A Model for Random Chain Complexes},
author = {Michael J. Catanzaro and Matthew J. Zabka},
journal= {arXiv preprint arXiv:1901.00964},
year = {2019}
}
Comments
9 pages, comments welcome