Diffeomorphisms of discs and the second Weiss derivative of BTop(-)
Algebraic Topology
2022-02-10 v1 Geometric Topology
Abstract
We compute the rational homotopy groups in degrees up to approximately d of the group of diffeomorphisms of a closed d-dimensional disc fixing the boundary. Based on this we determine the optimal rational concordance stable range for high-dimensional discs, describe the rational homotopy type of BTop(d) in a range, and calculate the second rational derivative of the functor BTop(-) in the sense of Weiss' orthogonal calculus.
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Cite
@article{arxiv.2109.03500,
title = {Diffeomorphisms of discs and the second Weiss derivative of BTop(-)},
author = {Manuel Krannich and Oscar Randal-Williams},
journal= {arXiv preprint arXiv:2109.03500},
year = {2022}
}
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83 pages