Algebraic models in geometry /
Saved in:
| Author / Creator: | Félix, Y. (Yves) |
|---|---|
| Imprint: | Oxford : Oxford University Press, 2008. |
| Description: | 1 online resource (xxi, 460 pages) : illustrations |
| Language: | English |
| Series: | Oxford graduate texts in mathematics ; 17 Oxford graduate texts in mathematics ; 17. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11172769 |
| Summary: | Rational homotopy is a very powerful tool for differential topology and geometry. This text aims to provide graduates and researchers with the tools necessary for the use of rational homotopy in geometry. Algebraic Models in Geometry has been written for topologists who are drawn to geometrical problems amenable to topological methods and also for geometers who are faced with problems requiring topological approaches and thus need a simple and concrete introduction to rational homotopy. This is essentially a book of applications. Geodesics, curvature, embeddings of manifolds, blow-ups, complex and Kähler manifolds, symplectic geometry, torus actions, configurations and arrangements are all covered. The chapters related to these subjects act as an introduction to the topic, a survey, and a guide to the literature. But no matter what the particular subject is, the central theme of the book persists; namely, there is a beautiful connection between geometry and rational homotopy which both serves to solve geometric problems and spur the development of topological methods. |
|---|---|
| Physical Description: | 1 online resource (xxi, 460 pages) : illustrations |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9780191525698 0191525693 1281341800 9781281341808 0199206511 019920652X 9780199206513 9780199206520 9786611341800 6611341803 |