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This is a note of my lectures at “Advanced courses in Foliationin the research program “Foliation”, which was held at the Centre de Recerca Mathem`atica in the May of 2010. In this note, we discuss ...
We show that for every symmetric space G=K of compact type with K connected, the K-action on G=K by left translations is equivariantly formal.
We show that the well-known fact that the equivariant cohomology of a torus action is a torsion-free module if and only if the map induced by the inclusion of the xed point set is injective generalis...

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