An upper bound for the pseudoisotopy stable range
Algebraic Topology
2016-11-22 v2
Abstract
We prove that the pseudoisotopy stable range for manifolds of dimension 2n can be no better than (2n-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(2n)/O(2n) is rationally (4n-5)-connected.
Keywords
Cite
@article{arxiv.1511.08557,
title = {An upper bound for the pseudoisotopy stable range},
author = {Oscar Randal-Williams},
journal= {arXiv preprint arXiv:1511.08557},
year = {2016}
}
Comments
11 pages, to appear in Mathematische Annalen