Infinite sequence of fixed point free pseudo-Anosov homeomorphisms
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چکیده
We construct an infinite sequence of pseudo-Anosov homeomorphisms without fixed points and leaving invariant a sequence of orientable measured foliations on the same topological surface and the same stratum of the space of Abelian differentials. The existence of such a sequence shows that all pseudo-Anosov homeomorphisms fixing orientable measured foliations cannot be obtained by the Rauzy-Veech induction strategy. 2000 Mathematics Subject Classification. Primary: 37E30. Secondary: 32G15, 57R30, 37B10
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