S. Terzic
Published 2002-05-30Version 1
We obtain explicit formulas for the rational homotopy groups of generalised symmetric spaces, i.e., the homogeneous spaces for which the isotropy subgroup appears as the fixed point group of some finite order automorphism of the group. In particular, this gives explicit formulas for the rational homotopy groups of all classical compact symmetric spaces.
Comments: 32 pages, to appear in Mathematische Zeitschrift
The rational homotopy groups of virtual spheres for rank 1 compact Lie groups
Koszul spaces
On the $L_{\infty}$-bialgebra structure of the rational homotopy groups $π_{*}(ΩΣY)\otimes \mathbb{Q}$
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