Repository logo
 

On diffeomorphisms of even-dimensional discs

Accepted version
Peer-reviewed

Type

Article

Change log

Authors

Kupers, Alexander 
Randal-Williams, Oscar  ORCID logo  https://orcid.org/0000-0002-7479-2878

Abstract

We determine π ∗ ( B Diff ∂ ⁡ ( D 2 n ) ) ⊗ Q \pi _*(B\operatorname {Diff}_\partial (D^{2n})) \otimes \mathbb {Q} for 2 n ≥ 6 2n \geq 6 completely in degrees ∗ ≤ 4 n − 10 * \leq 4n-10 , far beyond the pseudoisotopy stable range. Furthermore, above these degrees we discover a systematic structure in these homotopy groups: we determine them outside of certain “bands” of degrees.

Description

Keywords

55R40, 58D10, 57S05, math.AT, math.AT

Journal Title

Journal of the American Mathematical Society

Conference Name

Journal ISSN

0894-0347
1088-6834

Volume Title

Publisher

American Mathematical Society (AMS)
Sponsorship
European Research Council (756444)
Leverhulme Trust (PLP-2017-017)
ERC, Leverhulme Trust