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Publisher's Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations
V. Ginzburg, D. Pasechnik (2016)
Random Chain ComplexesArnold Mathematical Journal, 3
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 Fq\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$\mathbb {F}_q$$\end{document}, 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.
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg – Springer Journals
Published: Oct 1, 2021
Keywords: Homological algebra; Chain complex; 55U15; 18G35; 60K99; 60D99
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