Algebraic Models in Geometry

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Yves Félix (, Professeur, Université Catholique de Louvain) John Oprea (, Professor of Mathematics, Cleveland State University)

Algebraic Models in Geometry

Yves Félix (, Professeur, Université Catholique de Louvain), John Oprea (, Professor of Mathematics, Cleveland State University), Daniel Tanré (, Professeur, Université des Sciences et Technologies de Lille)

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English

Oxford University Press
18 March 2008

Mathematics & Sciences; Differential & Riemannian geometry; Algebraic geometry; Algebraic topology

Series: Oxford Graduate Texts in Mathematics

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.

By: Yves Félix ( Professeur Université Catholique de Louvain), John Oprea (, Professor of Mathematics, Cleveland State University), Daniel Tanré (, Professeur, Université des Sciences et Technologies de Lille)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm, Spine: 27mm
Weight: 738g
ISBN: 9780199206520
ISBN 10: 019920652X
Series: Oxford Graduate Texts in Mathematics
Pages: 488
Publication Date: 18 March 2008
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Reviews for Algebraic Models in Geometry

<br> An invaluable addition to the literature, surveying decades of vital research and taking the reader to the frontiers with countless open questions and paths into unexplored terrain. --Mathematical Reviews<br>