Abstract
We introduce the class of dynamical 2-complexes. These complexes particularly allow the obtaining of a topological representation of any free group automorphism. A dynamical 2-complex can be roughly defined as a special polyhedron or standard 2-complex equipped with an orientation on its 1-cells satisfying two simple combinatorial properties. These orientations allow us to define non-singular semi-flows on the complex. The relationship with the free group automorphisms is done via a cohomological criterion to foliate the complex by compact graphs.
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