Homotopic Rotation Sets for Higher Genus Surfaces

AMERICAN MATHEMATICAL SOCIETYISBN: 9781470475024

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By Pierre-Antoine Guiheneuf, Emmanuel Militon
Imprint:
AMERICAN MATHEMATICAL SOCIETY
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Format:
PAPERBACK
Dimensions:
254 x 178 mm
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Pages:
110

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Description

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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