An upper bound for the pseudoisotopy stable range
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Randal-Williams, O. (2017). An upper bound for the pseudoisotopy stable range. Mathematische Annalen, 368 1081-1094. https://doi.org/10.1007/s00208-016-1504-0
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.
The author was supported by EPSRC Grant EP/M027783/1.
External DOI: https://doi.org/10.1007/s00208-016-1504-0
This record's URL: https://www.repository.cam.ac.uk/handle/1810/262501