Abstract:We compute the rational homotopy groups in degrees up to approximately $\tfrac{3}{2}$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.
From: Manuel Krannich [view email]
[v1]
Wed, 8 Sep 2021 08:49:08 UTC (139 KB)
[v2]
Thu, 25 Jun 2026 14:27:06 UTC (144 KB)
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