Enumerating complex rank $n$ vector bundles on $\mathbb CP^{n+1}$

Morgan P. Opie

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arXiv · 2410.23520

Enumerating complex rank $n$ vector bundles on $\mathbb CP^{n+1}$

Morgan P. Opie

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Abstract

We enumerate complex rank $n$ topological vector bundles on $\mathbb CP^{n+1}$ with prescribed Chern classes. This extends work of Atiyah and Rees in the case $n=2$ and work of Hu in the case that all Chern classes are zero.

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Morgan P. Opie. 2024-10-31. Enumerating complex rank $n$ vector bundles on $\mathbb CP^{n+1}$. https://arxiv.org/abs/2410.23520

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