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Delooping of high-dimensional spaces of string links

2018/09/03 by Ducoulombier, J.
#18D50 55P48 57R45 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1809.00682

Abstract

We study a connection between a multivariable version of the Goodwillie-Weiss' calculus of functors and derived mapping spaces of k-fold bimodules over a family of operads. As our main application, under the assumption di+3≤ n for all i∈ \1,…,k\, we produce explicit deloopings of high-dimensional spaces of string links modulo immersions from \sqcupiℝ^di to ℝn and their polynomial approximations.

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