Translation Surfaces (Paperback)
Language: English
Published by American Mathematical Society, Providence, 2024
- Softcover
- New
Seller: Grand Eagle Retail, Bensenville, IL, U.S.A.Grand Eagle Retail
AbeBooks seller since October 12, 2005
Condition: New
£ 98.99
Quantity: 1 available
Add to basketItem description from seller
Paperback. This textbook offers an accessible introduction to translation surfaces. Building on modest prerequisites, the authors focus on the fundamentals behind big ideas in the field: ergodic properties of translation flows, counting problems for saddle connections, and associated renormalization techniques. Proofs that go beyond the introductory nature of the book are deftly omitted, allowing readers to develop essential tools and motivation before delving into the literature. Beginning with the fundamental example of the flat torus, the book goes on to establish the three equivalent definitions of translation surface. An introduction to the moduli space of translation surfaces follows, leading into a study of the dynamics and ergodic theory associated to a translation surface. Counting problems and group actions come to the fore in the latter chapters, giving a broad overview of progress in the 40 years since the ergodicity of the Teichmuller geodesic flow was proven. Exercises are included throughout, inviting readers to actively explore and extend the theory along the way. Translation Surfaces invites readers into this exciting area, providing an accessible entry point from the perspectives of dynamics, ergodicity, and measure theory. Suitable for a one- or two-semester graduate course, it assumes a background in complex analysis, measure theory, and manifolds, while some familiarity with Riemann surfaces and ergodic theory would be beneficial. An accessible introduction to translation surfaces. Building on modest prerequisites, the authors focus on the fundamentals behind big ideas in the field: ergodic properties of translation flows, counting problems for saddle connections, and associated renormalization techniques. Proofs that go beyond the books introductory nature are omitted. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…
Seller Inventory # 9781470476779
- Title
- Translation Surfaces (Paperback)
- Author
- Jayadev S. Athreya
- Publisher
- American Mathematical Society, Providence
- Publication year
- 2024
- Condition
- new
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1470476770
- ISBN 13
- 9781470476779
"Synopsis" may belong to another edition of this title.
About the Author
Howard Masur, University of Chicago, IL.
"About the title" may belong to another edition of this title.
Grand Eagle Retail
Bensenville, IL, U.S.A.
AbeBooks seller since October 12, 2005
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