A Model for Random Chain Complexes
| Autor: | Catanzaro, Michael J., Zabka, Matthew J. |
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| Rok vydání: | 2019 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 9 pages, comments welcome |
| Databáze: | arXiv |
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