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A Construction of Pseudo-Anosov Homeomorphisms

A Construction of Pseudo-Anosov Homeomorphisms

We describe a generalization of Thurston’s original construction of pseudo-Anosov maps on a surface $F$ of negative Euler characteristic. In fact, we construct whole semigroups of pseudo-Anosov maps by taking appropriate compositions of Dehn twists along certain families of curves; our arguments furthermore apply to give examples of pseudo-Anosov maps …