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

Iver Ottosen

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arXiv · 1601.07405

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

Iver Ottosen

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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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Iver Ottosen. 2016-01-27. On vector bundles for a Morse decomposition of $L({\mathbb{C}\mathrm{P}}^n)$. https://arxiv.org/abs/1601.07405

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