Algebraic models in geometry
Title:
Algebraic models in geometry
Author:
Felix, Y. (Yves)
ISBN:
9780199206513
9780199206520
Personal Author:
Publication Information:
Oxford ; New York : Oxford University Press, 2008.
Physical Description:
xxi, 460 p. : ill. ; 25 cm.
Series:
Oxford graduate texts in mathematics ; 17
Oxford graduate texts in mathematics ; 17.
Contents:
Lie groups and homogeneous spaces -- Minimal models -- Manifolds -- Complex and symplectic manifolds -- Geodesics -- Curvature -- G-spaces -- Blow-ups and intersection products -- A florilege of geometric applications -- De Rham forms -- Spectral sequences -- Basic homotopy recollections.
Abstract:
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.