Anosov diffeomorphisms constructed from
arXiv:1006.4683 · doi:10.1112/jtopol/jts004
Abstract
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.
18 pages, 1 figure. Accepted for publication by the Journal of Topology. Second version: an Appendix was added, exposition was greatly improved, all thanks to the referee