Abstract
Let $X$ be a simply connected homogeneous space of which $ \pi_*(X) \otimes \mathbb{Q} $ is finite dimensional. We consider the homology of the free loop space $ {\rm map}(S^1, X) $ with the bracket defined by Chas and Sullivan. We show that the Lie algebra $ s\mathbb{H}_*({\rm map}(S^1, X), \mathbb{Q}) $ is not nilpotent.
Citation
J. P. Gatsinzi. "Brackets in the Free Loop Space Homology of Some Homogeneous Spaces." Afr. Diaspora J. Math. (N.S.) 16 (1) 28 - 36, 2013.
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