Anosov diffeomorphisms constructed from πk(Diff(Sn))

We construct Anosov diffeomorphisms on manifolds that are homeomorphic to infranilmanifolds yet have exotic smooth structures. These manifolds are obtained from standard infranilmanifolds by connected summing with certain exotic spheres. Our construction produces Anosov diffeomorphisms of high codim...

Full description

Saved in:
Bibliographic Details
Published in:Journal of topology 2012-06, Vol.5 (2), p.276-292
Main Authors: Farrell, F. Thomas, Gogolev, Andrey
Format: Article
Language:English
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We construct Anosov diffeomorphisms on manifolds that are homeomorphic to infranilmanifolds yet have exotic smooth structures. These manifolds are obtained from standard infranilmanifolds by connected summing with certain exotic spheres. Our construction produces Anosov diffeomorphisms of high codimension on infranilmanifolds with irreducible exotic smooth structures.
ISSN:1753-8416
1753-8424
DOI:10.1112/jtopol/jts004