An upper bound for the pseudoisotopy stable range.
Published version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Randal-Williams, Oscar 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
1432-1807
Volume Title
368
Publisher
Springer Science and Business Media LLC
Publisher DOI
Sponsorship
Engineering and Physical Sciences Research Council (EP/M027783/1)
The author was supported by EPSRC Grant EP/M027783/1.