Mathematics – Dynamical Systems
Scientific paper
2012-01-17
Mathematics
Dynamical Systems
Scientific paper
We consider the space $\X$ of Anosov diffeomorphisms homotopic to a fixed
automorphism $L$ of an infranilmanifold $M$. We show that if $M$ is the 2-torus
$\mathbb T^2$ then $\X$ is homotopy equivalent to $\mathbb T^2$. In contrast,
if dimension of $M$ is large enough, we show that $\X$ is rich in homotopy and
has infinitely many connected components.
Farrell Thomas F.
Gogolev Andrey
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