Algebraic models in geometry / Yves Félix, John Oprea, Daniel Tanré.

Format:

Book

Author/Creator:

Félix, Y. (Yves), author.

Oprea, John, author.

Tanré, Daniel, author.

Series:

Oxford graduate texts in mathematics ; 17.

Oxford scholarship online.

Oxford graduate texts in mathematics ; 17

Oxford scholarship online

Language:

English

Subjects (All):

Homotopy theory.

Geometry, Algebraic.

Physical Description:

1 online resource (483 p.)

Edition:

1st ed.

Place of Publication:

Oxford : Oxford University Press, 2023.

Language Note:

English

Summary:

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.

Contents:

Preface; Contents; 1 Lie groups and homogeneous spaces; 2 Minimal models; 3 Manifolds; 4 Complex and symplectic manifolds; 5 Geodesics; 6 Curvature; 7 G-spaces; 8 Blow-ups and Intersection Products; 9 A Florilège of geometric applications; A: De Rham forms; B: Spectral sequences; C: Basic homotopy recollections; References; Index

Notes:

Formerly CIP.

Previously issued in print: 2008.

Includes bibliographical references and index.

Derived record based on print version record and publisher information.

ISBN:

1-383-03455-9

1-281-34180-0

9786611341800

0-19-152569-3

OCLC:

437092142