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An upper bound for the pseudoisotopy stable range.

Published version
Peer-reviewed

Type

Article

Change log

Authors

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

Abstract

We prove that the pseudoisotopy stable range for manifolds of dimension 2n can be no better than ( 2 n - 2 ) . In order to do so, we define new characteristic classes for block bundles, extending our earlier work with Ebert, and prove their non-triviality. We also explain how similar methods show that Top ( 2 n ) / O ( 2 n ) is rationally ( 4 n - 5 ) -connected.

Description

Keywords

math.AT, math.AT, 57R65, 57S05

Journal Title

Math Ann

Conference Name

Journal ISSN

0025-5831
1432-1807

Volume Title

368

Publisher

Springer Science and Business Media LLC
Sponsorship
Engineering and Physical Sciences Research Council (EP/M027783/1)
The author was supported by EPSRC Grant EP/M027783/1.