Rational homotopy groups of generalised symmetric spaces

Details Rational homotopy groups of generalised symmetric spaces Rational homotopy groups of generalised symmetric spaces

2002-05-30

arxiv.org/abs/math/0205318v1

Mathematics

Algebraic Topology

32 pages, to appear in Mathematische Zeitschrift

Scientific paper

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.

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