On the equivariant cohomology of homogeneous spaces.

Carlson, Jeffrey.

Abstract: The first part of this dissertation develops foundational material on the rational cohomology of Lie groups, their classifying spaces, and homogeneous spaces. In parallel, it develops the basics of Borel equivariant cohomology, with an aim to understanding equivariant cohomology of isotropy actions of K on compact homogeneous spaces G/K. In the last few chapters, we establish several ori... read more

Tufts University. Department of Mathematics.
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ID: tufts:21372
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