Algebraic Models in Geometry by Yves Felix
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Algebraic Models in Geometry
By Yves Felix

Algebraic Models in Geometry

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Format: Hardback

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Algebraic Models in Geometry by Yves Felix

Book Description

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.

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Book Details

ISBN: 9780199206513
ISBN-10: 0199206511
Format: Hardback
(243mm x 163mm x 31mm)
Pages: 484
Imprint: Oxford University Press
Publisher: Oxford University Press
Publish Date: 13-Mar-2008
Country of Publication: United Kingdom

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Books By Author Yves Felix

Algebraic Models in Geometry by Yves Felix Algebraic Models in Geometry, Paperback (March 2008)

A text aimed at both geometers needing the tools of rational homotopy theory to understand and discover new results concerning various geometric subjects, and topologists who require greater breadth of knowledge about geometric applications of the algebra of homotopy theory.

» View all books by Yves Felix

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Author Biography - Yves Felix

Daniel Tanre received his Ph. D. from the University of Paris in 1972 and has been a Professor at the University of Lille, France, since 1988. He has been an author of books and articles on Algebraic Topology and applications since 1972.

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