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On vector bundles for a Morse decomposition of $L\mathbb{C}\mathrm{P}^n$

Iver Ottosen

Abstract


We give a description of the negative bundles for the energy integral on the free loop space $L\mathbb{C}\mathrm{P}^n$ in terms of circle vector bundles over projective Stiefel manifolds. We compute the mod $p$ Chern classes of the associated homotopy orbit bundles.


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References


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DOI: http://dx.doi.org/10.7146/math.scand.a-96622

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