Bounded degree cosystolic expanders of every dimension
STOC '16: Symposium on Theory of Computing Cambridge MA USA June, 2016(2023)
摘要
In this work we present a new local to global criterion for proving a form of high dimensional expansion, which we term cosystolic expansion. Applying this criterion on Ramanujan complexes yields for every dimension an infinite family of bounded degree complexes with the topological overlap property. This answers an open question raised by Gromov.
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关键词
Theory,High Dimensional Expanders,Cosystolic Expanders,Topological Overlapping,Ramanujan Complexes
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