Papers › Configuration spaces of disks in a strip, twisted algebras, persistence, and other stories
Configuration spaces of disks in a strip, twisted algebras, persistence, and other stories
Hannah Alpert, Fedor Manin
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We give ℤ-bases for the homology and cohomology of the configuration space config(n,w) of n unit disks in an infinite strip of width w, first studied by Alpert, Kahle and MacPherson. We also study the way these spaces evolve both as n increases (using the framework of representation stability) and as w increases (using the framework of persistent homology). Finally, we include some results about the cup product in the cohomology and about the configuration space of unordered disks.
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