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arxiv: 1810.12444 · v1 · pith:U5MGLQZVnew · submitted 2018-10-29 · 🧮 math.AT

Overlapping Discs Filtration in the Commutative Operad

classification 🧮 math.AT
keywords discsoperadoverlappingspacesbeenbimodulecommutativeconfigurations
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The spaces of configurations of non-$k$-overlapping discs have been studied as a bimodule over the little discs operad. In fact, the spaces form a filtered operad. We define and study the induced structure on the homology.

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