A model for random chain complexes

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Abhandlungen Aus Dem Mathematischen Seminar Der Universitat Hamburg

سال: 2021

ISSN: ['1865-8784', '0025-5858']

DOI: https://doi.org/10.1007/s12188-021-00248-w