Homotopic Rotation Sets for Higher Genus Surfaces

Author:   Pierre-Antoine Guiheneuf ,  Emmanuel Militon
Publisher:   American Mathematical Society
ISBN:  

9781470475024


Pages:   110
Publication Date:   10 November 2025
Format:   Paperback
Availability:   In Print   Availability explained
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Homotopic Rotation Sets for Higher Genus Surfaces


Overview

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.

Full Product Details

Author:   Pierre-Antoine Guiheneuf ,  Emmanuel Militon
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
ISBN:  

9781470475024


ISBN 10:   1470475022
Pages:   110
Publication Date:   10 November 2025
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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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Author Information

Pierre-Antoine Guiheneuf, Sorbonna University, Paris, France. Emmanuel Militon, Universite Cote d'Azur, Nice, France.

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Latest Reading Guide

NOV RG 20252

 

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