Anosov diffeomorphisms constructed from $π_k(Diff(S^n))$

Details Anosov diffeomorphisms constructed from $π_k(Diff(S^n))$ Anosov diffeomorphisms constructed from $π_k(Diff(S^n))$

2010-06-24

arxiv.org/abs/1006.4683v2

Mathematics

Dynamical Systems

18 pages, 1 figure. Accepted for publication by the Journal of Topology. Second version: an Appendix was added, exposition was

Scientific paper

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.

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