English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

Stably diffeomorphic manifolds and the realisation of modified surgery obstructions

MPS-Authors
/persons/resource/persons250165

Conway,  Anthony       
Max Planck Institute for Mathematics, Max Planck Society;

/persons/resource/persons235122

Crowley,  Diarmuid
Max Planck Institute for Mathematics, Max Planck Society;

/persons/resource/persons236018

Powell,  Mark
Max Planck Institute for Mathematics, Max Planck Society;

External Resource
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)

2109.05632v4
(Preprint), 958KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Conway, A., Crowley, D., Powell, M., & Sixt, J. (in press). Stably diffeomorphic manifolds and the realisation of modified surgery obstructions. Mémoires de la Société Mathématique de France, To appear.


Cite as: https://hdl.handle.net/21.11116/0000-000F-C448-3
Abstract
For every k≥2 we construct infinitely many 4k-dimensional manifolds that are all stably diffeomorphic but pairwise not homotopy equivalent. Each of these manifolds has hyperbolic intersection form and is stably parallelisable. In fact we construct infinitely many such infinite sets. To achieve this we prove a realisation result for appropriate subsets of Kreck's modified surgery monoid ℓ2q+1(Z[π]), analogous to Wall's realisation of the odd-dimensional surgery obstruction L-group Ls2q+1(Z[π]).