Algebraic models in geometry
著者
書誌事項
Algebraic models in geometry
（Oxford graduate texts in mathematics, 17）
Oxford University Press, 2008
- : pbk
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注記
"Oxford Mathematics"--Cover
Bibliography: p. [433]-450
Includes index
内容説明・目次
内容説明
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 Kahler 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.
目次
APPENDICES
「Nielsen BookData」 より
