Diffeomorphisms of discs and the second Weiss derivative of BTop(–)
Abstract:
We compute the rational homotopy groups in degrees up to approximately $\frac{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 $B$Top(d) in a range, and calculate the second rational derivative of the functor $B$Top(-) in the sense of Weiss’ orthogonal calculus.
| Zugehörige Institution(en) am KIT | Fakultät für Mathematik (MATH) |
| Publikationstyp | Zeitschriftenaufsatz |
| Publikationsjahr | 2026 |
| Sprache | Englisch |
| Identifikator | ISSN: 0020-9910, 1432-1297 KITopen-ID: 1000195348 |
| Erschienen in | Inventiones mathematicae |
| Verlag | Springer |
| Vorab online veröffentlicht am | 10.07.2026 |
| Nachgewiesen in | OpenAlex Scopus |