An upper bound for the pseudoisotopy stable range

2015/11/27 by Randal-Williams, Oscar
#57R65 #57S05 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1511.08557

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.

Related

• Unstable pseudo-isotopies of spherical 3-manifolds
• Second obstruction to pseudoisotopy I
• A stability range for topological 4-manifolds
• The extra-nice dimensions
• Pseudo-isotopy versus isotopy for homeomorphisms of 4-manifolds