Algebraic Models in Geometry (Oxford Graduate Texts in Mathematics)

This Text Is 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. Lie Groups And Homogeneous Spaces -- Minimal Models -- Manifolds -- Complex And Symplectic Manifolds -- Geodesics -- Curvature -- G-spaces -- Blow-ups And Intersection Products -- A Florilège Of Geometric Applications -- De Rham Forms -- Spectral Sequences -- Basic Homotopy Recollections. Yves Félix, John Oprea, Daniel Tanré. Includes Bibliographical References (p. [433]-450) And Index.