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9781470475024 Academic Inspection Copy

Homotopic Rotation Sets for Higher Genus Surfaces

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The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.
Pierre-Antoine Guiheneuf, Sorbonna University, Paris, France. Emmanuel Militon, Universite Cote d'Azur, Nice, France.
1. Introduction 2. Quasi convexity of fundamental domains 3. Rotation sets: definition and star shape 4. Realisation of rotation vectors for closed geodesics 5. Creation of new rotation vectors: elementary results 6. Almost annular homeomorphisms 7. Examples 8. Intersections of closed geodesics: consequences on the homological rotation set 9. Closed geodesics with self-intersection 10. Two transverse closed geodesics
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