Mapping spaces of Swiss cheese operads

Fuente: arXiv
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Autor principal: Turchin, Victor
Formato: Preprint
Publicado: 2024
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_version_ 1866910021713920000
author Turchin, Victor
author_facet Turchin, Victor
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2410_02190
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Mapping spaces of Swiss cheese operads
Turchin, Victor
Algebraic Topology
55P48, 57S05, 58D10
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.
title Mapping spaces of Swiss cheese operads
topic Algebraic Topology
55P48, 57S05, 58D10
url https://arxiv.org/abs/2410.02190