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Published in:
2013 | OriginalPaper | Chapter
14. Examples and Computations
Authors : Phillip Griffiths, John Morgan
Published in: Rational Homotopy Theory and Differential Forms
Publisher: Springer New York
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Abstract
This chapter considers various examples and makes explicit computations. These include the spheres, complex projective spaces, the Borromean rings, symmetric spaces, and the classifying spaces BU(n) and BU. We also consider the graded Lie algebra defined by Whitehead products on homotopy groups. We consider the third homotopy group of a simply connected space and the homotopy theory of simply connected 4-manifolds. Lastly, we discuss products and Massey products in cohomology, the principle of two types and the formality of compact Kahler manifolds.