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arXiv · 2410.02190

Mapping spaces of Swiss cheese operads

Victor Turchin
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Abstract

We show that the color restriction map $\mathrm{Op}^h({\mathcal{SC}}_m,{\mathcal{SC}}_n)\to \mathrm{Op}^h({\mathcal E}_{m-1},{\mathcal E}_{n-1})$ from the derived mapping space of Swiss cheese operads to that of little discs operads, is a weak homotopy equivalence. We explain how this can help in the study of disc concordance embedding spaces.

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Victor Turchin. 2024-10-03. Mapping spaces of Swiss cheese operads. https://arxiv.org/abs/2410.02190

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