Homotopic Rotation Sets for Higher Genus Surfaces (Memoirs of the American Mathematical Society)

Homotopic Rotation Sets for Higher Genus Surfaces (Memoirs of the American Mathematical Society)

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  • 製本 Paperback:紙装版/ペーパーバック版/ページ数 110 p.
  • 言語 ENG
  • 商品コード 9781470475024

Full Description

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.

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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