Mathematics – Geometric Topology
Scientific paper
2011-10-11
Mathematics
Geometric Topology
14 pages, 3 figures
Scientific paper
A natural generalization of interval exchange maps are linear involutions, first introduced by Danthony and Nogueira. Recurrent train tracks with a single switch which we call non-classical interval exchanges, form a subclass of linear involutions without flips. They are analogs of classical interval exchanges, and are first return maps for non-orientable measured foliations associated to quadratic differentials on Riemann surfaces. We show that every transformation is disjoint from almost every irreducible non-classical interval exchange.
Chaika Jon
Gadre Vaibhav
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